2010-02-18 21:12:44 +00:00
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<EFBFBD><EFBFBD>u s i n g S y s t e m ;
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u s i n g S y s t e m . C o l l e c t i o n s . G e n e r i c ;
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u s i n g S y s t e m . T e x t ;
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n a m e s p a c e C U E T o o l s . P a r i t y
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{
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/ * *
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0: R S <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0
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*
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* @ a u t h o r M a s a y u k i M i y a z a k i
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* h t t p : / / s o u r c e f o r g e . j p / p r o j e c t s / r e e d s o l o m o n /
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* /
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p u b l i c c l a s s R s D e c o d e
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{
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p r o t e c t e d G a l o i s g a l o i s ;
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p r o t e c t e d i n t n p a r ;
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2011-05-06 20:22:21 +00:00
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p u b l i c u s h o r t [ , , ] c h i e n T a b l e ;
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2010-02-18 21:12:44 +00:00
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p u b l i c R s D e c o d e ( i n t n p a r , G a l o i s g a l o i s )
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{
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t h i s . n p a r = n p a r ;
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t h i s . g a l o i s = g a l o i s ;
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2011-05-26 18:18:26 +00:00
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/ / i f ( g a l o i s . M a x = = 6 5 5 3 5 )
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2011-05-06 20:22:21 +00:00
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t h i s . m a k e C h i e n T a b l e ( ) ;
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}
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/ / / < s u m m a r y >
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/ / / c h i e n T a b l e [ x x , 0 , i ] = m u l ( 0 0 x x , <EFBFBD>^ - i )
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/ / / c h i e n T a b l e [ x x , 1 , i ] = m u l ( x x 0 0 , <EFBFBD>^ - i )
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/ / / < / s u m m a r y >
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/ / / < p a r a m n a m e = " n p a r " > < / p a r a m >
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/ / / < r e t u r n s > < / r e t u r n s >
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p r i v a t e v o i d m a k e C h i e n T a b l e ( )
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{
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t h i s . c h i e n T a b l e = n e w u s h o r t [ 2 5 6 , 2 , t h i s . n p a r ] ;
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f o r ( i n t i = 0 ; i < t h i s . n p a r ; i + + )
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{
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t h i s . c h i e n T a b l e [ 0 , 0 , i ] = 0 ;
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t h i s . c h i e n T a b l e [ 0 , 1 , i ] = 0 ;
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}
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f o r ( i n t i b = 1 ; i b < 2 5 6 ; i b + + )
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{
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i n t l o g i b 0 = t h i s . g a l o i s . L o g T b l [ i b ] ;
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i n t l o g i b 1 = t h i s . g a l o i s . L o g T b l [ i b < < 8 ] ;
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f o r ( i n t i = 0 ; i < t h i s . n p a r ; i + + )
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{
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t h i s . c h i e n T a b l e [ i b , 0 , i ] = t h i s . g a l o i s . E x p T b l [ l o g i b 0 + t h i s . g a l o i s . M a x - i ] ;
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t h i s . c h i e n T a b l e [ i b , 1 , i ] = t h i s . g a l o i s . E x p T b l [ l o g i b 1 + t h i s . g a l o i s . M a x - i ] ;
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}
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}
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2010-02-18 21:12:44 +00:00
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}
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/ / / < s u m m a r y >
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/ / / M o d i f i e d B e r l e k a m p - M a s s e y
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/ / / < / s u m m a r y >
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/ / / < p a r a m n a m e = " s i g m a " >
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/ / / <EFBFBD>( z ) <h
}(uM<EFBFBD>R0 g'Yn p a r / 2 + 2 Pn0<EFBFBD><EFBFBD>WL0<EFBFBD>_<EFBFBD><EFBFBD>
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/ / / <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>[ j i s u ]
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/ / / < / p a r a m >
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/ / / < p a r a m n a m e = " o m e g a " >
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/ / / <EFBFBD>( z ) <h
}(uM<EFBFBD>R0 g'Yn p a r / 2 + 1 Pn0<EFBFBD><EFBFBD>WL0<EFBFBD>_<EFBFBD><EFBFBD>
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/ / / <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>[ j i s u - 1 ]
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/ / / < / p a r a m >
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/ / / < p a r a m n a m e = " s y n " >
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/ / / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0M<EFBFBD>R
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/ / / s 0 , s 1 , s 2 , . . . s [ n p a r - 1 ]
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/ / / < / p a r a m >
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/ / / < r e t u r n s >
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/ / / > = 0 : <EFBFBD>n0!kpe
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/ / / e l s e : <EFBFBD>0<EFBFBD>0<EFBFBD>0
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/ / / < / r e t u r n s >
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2010-02-23 15:15:08 +00:00
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p u b l i c u n s a f e i n t c a l c S i g m a M B M ( i n t * s i g m a , i n t * s y n )
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2010-02-18 21:12:44 +00:00
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{
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i n t * s g 0 = s t a c k a l l o c i n t [ n p a r + 1 ] ;
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i n t * s g 1 = s t a c k a l l o c i n t [ n p a r + 1 ] ;
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i n t * w k = s t a c k a l l o c i n t [ n p a r + 1 ] ;
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s g 0 [ 1 ] = 1 ;
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s g 1 [ 0 ] = 1 ;
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i n t j i s u 0 = 1 ;
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i n t j i s u 1 = 0 ;
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i n t m = - 1 ;
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f o r ( i n t n = 0 ; n < n p a r ; n + + )
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{
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/ / $R%R_<EFBFBD>0<EFBFBD><EFBFBD>{
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i n t d = s y n [ n ] ;
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f o r ( i n t i = 1 ; i < = j i s u 1 ; i + + )
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d ^ = g a l o i s . m u l ( s g 1 [ i ] , s y n [ n - i ] ) ;
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i f ( d ! = 0 )
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{
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i n t l o g d = g a l o i s . t o L o g ( d ) ;
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f o r ( i n t i = 0 ; i < = n ; i + + )
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w k [ i ] = s g 1 [ i ] ^ g a l o i s . m u l E x p ( s g 0 [ i ] , l o g d ) ;
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i n t j s = n - m ;
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i f ( j s > j i s u 1 )
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{
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f o r ( i n t i = 0 ; i < = j i s u 0 ; i + + )
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s g 0 [ i ] = g a l o i s . d i v E x p ( s g 1 [ i ] , l o g d ) ;
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m = n - j i s u 1 ;
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j i s u 1 = j s ;
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j i s u 0 = j s ;
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}
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f o r ( i n t i = 0 ; i < n p a r ; i + + )
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s g 1 [ i ] = w k [ i ] ;
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}
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f o r ( i n t i = j i s u 0 ; i > 0 ; i - - )
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s g 0 [ i ] = s g 0 [ i - 1 ] ;
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s g 0 [ 0 ] = 0 ;
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j i s u 0 + + ;
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}
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i f ( s g 1 [ j i s u 1 ] = = 0 )
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r e t u r n - 1 ;
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2010-02-23 15:15:08 +00:00
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/ / g a l o i s . m u l P o l y ( o m e g a , s g 1 , s y n , n p a r / 2 + 1 , n p a r , n p a r ) ;
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2010-02-18 21:12:44 +00:00
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f o r ( i n t i = 0 ; i < M a t h . M i n ( n p a r / 2 + 2 , n p a r ) ; i + + )
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s i g m a [ i ] = s g 1 [ i ] ;
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r e t u r n j i s u 1 ;
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}
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p u b l i c u n s a f e i n t c a l c S i g m a M B M ( i n t [ ] s i g m a , i n t [ ] o m e g a , i n t [ ] s y n )
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{
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f i x e d ( i n t * s = s i g m a , o = o m e g a , y = s y n )
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2010-02-23 15:15:08 +00:00
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{
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i n t r e s = c a l c S i g m a M B M ( s , y ) ;
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i f ( r e s > = 0 ) g a l o i s . m u l P o l y ( o , s , y , n p a r / 2 + 1 , n p a r , n p a r ) ;
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r e t u r n r e s ;
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}
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2010-02-18 21:12:44 +00:00
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}
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/ * *
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* gB}<EFBFBD>0<EFBFBD>0<EFBFBD>0MOnn0<EFBFBD>0<EFBFBD>0<EFBFBD>0
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* @ p a r a m p o s
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* <EFBFBD><EFBFBD><EFBFBD>0MOn<h
}(u RR
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* @ p a r a m n
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0w<EFBFBD>
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* @ p a r a m l a s t
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0MOn
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* @ r e t u r n
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* 0 : ck8^B}<EFBFBD>N
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* < 0 : <EFBFBD>0<EFBFBD>0<EFBFBD>0
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* /
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p r i v a t e u n s a f e b o o l s e t L a s t E r r o r P o s ( i n t * p o s , i n t n , i n t l a s t )
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{
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i f ( g a l o i s . t o L o g ( l a s t ) > = n )
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r e t u r n f a l s e ; / / <EFBFBD>{<EFBFBD>VYj0n0g0<EFBFBD>0<EFBFBD>0<EFBFBD>0
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p o s [ 0 ] = l a s t ;
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r e t u r n t r u e ;
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}
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/ * *
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>c"}k0<6B>0<EFBFBD>0<EFBFBD><30><EFBFBD>0MOn<6E>0Bl<42>0<EFBFBD>0
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* <EFBFBD>( z ) = 0 n0㉒0<EFBFBD>c"}Y0<59>0
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* _0`0W00<EFBFBD>c"}o0<6F>0<EFBFBD>0<EFBFBD>0w<30><77>N<EFBFBD>Qn0<6E><30>n00g0
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* j i s u Pn0<EFBFBD><EFBFBD>L0<EFBFBD><EFBFBD>d0K0<EFBFBD>0j0Q0<EFBFBD>0p00<EFBFBD>0<EFBFBD>0<EFBFBD>0h0Y0<EFBFBD>0
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* @ p a r a m p o s i n t [ ]
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* <EFBFBD><EFBFBD><EFBFBD>0MOn<h
}(uM<EFBFBD>R0j i s u Pn0<EFBFBD><EFBFBD>WL0<EFBFBD>_<EFBFBD><EFBFBD>
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* @ p a r a m n i n t
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0w<EFBFBD>
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* @ p a r a m j i s u i n t
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* <EFBFBD>n0!kpe
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* @ p a r a m s i g m a i n t [ ]
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* <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>< j i s u >
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* @ r e t u r n i n t
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* 0 : ck8^B}<EFBFBD>N
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* < 0 : <EFBFBD>0<EFBFBD>0<EFBFBD>0
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* /
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2011-05-06 20:22:21 +00:00
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p u b l i c u n s a f e b o o l c h i e n S e a r c h ( i n t * p o s , i n t n , i n t j i s u , i n t * s i g m a , u s h o r t * c h T )
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2010-02-18 21:12:44 +00:00
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{
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/ *
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* <EFBFBD>( z ) = ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z )
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* = 1 + <EFBFBD>1 z + <EFBFBD>2 z ^ 2 + . . .
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* <EFBFBD>1 = <EFBFBD>^ i + <EFBFBD>^ j + <EFBFBD>^ k
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* d0~0<EFBFBD>0<EFBFBD>1 o0hQf0n0<EFBFBD><EFBFBD>n0T<EFBFBD>h0j0c0f0D0<EFBFBD>00
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N<EFBFBD>n0'`ꌒ0)R(uW0f00<EFBFBD>0<EFBFBD>0 gi<EFBFBD>S
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* l a s t = <EFBFBD>1 K0<EFBFBD>00<EFBFBD><EFBFBD>d0Q0_0㉒0!k0h0_D0f0D0O0S0h0k0<EFBFBD>0<EFBFBD>00 g<EFBFBD>_n0<EFBFBD><EFBFBD>o0l a s t h0j0<EFBFBD>0
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* /
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i n t l a s t = s i g m a [ 1 ] ;
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i f ( j i s u = = 1 )
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{
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/ / !kpeL01 j0<EFBFBD>0p0l a s t L0]0n0<EFBFBD><EFBFBD>g0B0<EFBFBD>0
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r e t u r n s e t L a s t E r r o r P o s ( p o s , n , l a s t ) ;
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}
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2011-05-06 20:22:21 +00:00
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u s h o r t * s g = s t a c k a l l o c u s h o r t [ j i s u + 1 ] ;
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f o r ( i n t j = 1 ; j < = j i s u ; j + + )
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s g [ j ] = ( u s h o r t ) s i g m a [ j ] ;
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2010-02-18 21:12:44 +00:00
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i n t p o s I d x = j i s u - 1 ; / / <EFBFBD><EFBFBD><EFBFBD>0MOn<h
}(u<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0
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2011-05-06 20:22:21 +00:00
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i f ( n p a r = = 8 )
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{
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f o r ( i n t i = 0 ; i < n ; i + + )
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{
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i n t w k = 1 ;
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f o r ( i n t j = 1 ; j < = j i s u ; j + + )
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w k ^ = s g [ j ] ;
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i f ( w k = = 0 )
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{
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i n t p v = g a l o i s . t o E x p ( i ) ;
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l a s t ^ = p v ;
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p o s [ p o s I d x - - ] = p v ;
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i f ( p o s I d x = = 0 )
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r e t u r n s e t L a s t E r r o r P o s ( p o s , n , l a s t ) ;
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}
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f o r ( i n t j = 1 ; j < = j i s u ; j + + )
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{
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u s h o r t s g j = s g [ j ] ;
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s g [ j ] = ( u s h o r t ) ( c h T [ ( s g j & 0 x f f ) * 8 * 2 + j ] ^ c h T [ ( s g j > > 8 ) * 8 * 2 + 8 + j ] ) ;
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}
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}
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r e t u r n f a l s e ;
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}
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2010-02-18 21:12:44 +00:00
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f o r ( i n t i = 0 ; i < n ; i + + )
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{
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/ *
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* <EFBFBD>( z ) n0<EFBFBD><EFBFBD>{
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* w <EFBFBD>01 ( 0 WNn0<EFBFBD>) k0 R gSW0_0<EFBFBD>_0<EFBFBD>k<EFBFBD>0n0<EFBFBD>< 1 . . j i s u > <EFBFBD>0<EFBFBD>R<EFBFBD>{
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* z = 1 / <EFBFBD>^ i = <EFBFBD>^ I h0Y0<EFBFBD>0h0
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* <EFBFBD>( z ) = 1 + <EFBFBD>1 <EFBFBD>^ I + <EFBFBD>2 ( <EFBFBD>^ I ) ^ 2 + <EFBFBD>3 ( <EFBFBD>^ I ) ^ 3 + . . . + <EFBFBD>< j i s u > / ( <EFBFBD>^ I ) ^ < j i s u >
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* = 1 + <EFBFBD>1 <EFBFBD>^ I + <EFBFBD>2 <EFBFBD>^ ( I * 2 ) + <EFBFBD>3 <EFBFBD>^ ( I * 3 ) + . . . + <EFBFBD>< j i s u > <EFBFBD>^ ( I * < j i s u > )
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* /
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i n t w k = 1 ;
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f o r ( i n t j = 1 ; j < = j i s u ; j + + )
|
2011-05-06 20:22:21 +00:00
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w k ^ = s g [ j ] ;
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f o r ( i n t j = 1 ; j < = j i s u ; j + + )
|
2010-02-18 21:12:44 +00:00
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{
|
2011-05-06 20:22:21 +00:00
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u s h o r t s g j = s g [ j ] ;
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s g [ j ] = ( u s h o r t ) ( c h T [ ( s g j & 0 x f f ) * n p a r * 2 + j ] ^ c h T [ ( s g j > > 8 ) * n p a r * 2 + n p a r + j ] ) ;
|
2010-02-18 21:12:44 +00:00
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}
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i f ( w k = = 0 )
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{
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i n t p v = g a l o i s . t o E x p ( i ) ; / / <EFBFBD>( z ) = 0 n0<EFBFBD><EFBFBD>
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l a s t ^ = p v ; / / l a s t K0<EFBFBD>0<EFBFBD>N<EFBFBD><EFBFBD>d0K0c0_0㉒0_O0
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p o s [ p o s I d x - - ] = p v ;
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i f ( p o s I d x = = 0 )
|
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{
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/ / <EFBFBD>k<EFBFBD>0L0 Nd0j0<EFBFBD>0p00l a s t L0]0n0<EFBFBD><EFBFBD>g0B0<EFBFBD>0
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r e t u r n s e t L a s t E r r o r P o s ( p o s , n , l a s t ) ;
|
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}
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}
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}
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/ / <EFBFBD>c"}k0<6B>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0w<30><77>N<EFBFBD>Qk00j i s u Pn0<6E><30>L0<4C><30>d0K0<4B>0j0K0c0_0
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r e t u r n f a l s e ;
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}
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p u b l i c u n s a f e b o o l c h i e n S e a r c h ( i n t [ ] p o s , i n t n , i n t j i s u , i n t [ ] s i g m a )
|
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{
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f i x e d ( i n t * p = p o s , s = s i g m a )
|
2011-05-06 20:22:21 +00:00
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f i x e d ( u s h o r t * c h T = c h i e n T a b l e )
|
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r e t u r n c h i e n S e a r c h ( p , n , j i s u , s , c h T ) ;
|
2010-02-18 21:12:44 +00:00
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}
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p u b l i c u n s a f e i n t d o F o r n e y ( i n t j i s u , i n t p s , i n t * s i g m a , i n t * o m e g a )
|
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{
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|
i n t z l o g = g a l o i s . M a x - g a l o i s . t o L o g ( p s ) ; / / z n0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0
|
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/ / <EFBFBD>( z ) n0<EFBFBD><EFBFBD>{
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i n t o v = o m e g a [ 0 ] ;
|
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f o r ( i n t j = 1 ; j < j i s u ; j + + )
|
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{
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|
o v ^ = g a l o i s . m u l E x p ( o m e g a [ j ] , ( z l o g * j ) % g a l o i s . M a x ) ; / / o v + = <EFBFBD>i * z ^ j
|
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}
|
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|
|
/ / <EFBFBD>' ( z ) n0$P<EFBFBD>0<EFBFBD><EFBFBD>{( <EFBFBD>( z ) n0b__<EFBFBD>v<EFBFBD>_R)
|
|
|
|
|
|
i n t d v = s i g m a [ 1 ] ;
|
|
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|
|
f o r ( i n t j = 2 ; j < j i s u ; j + = 2 )
|
|
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|
|
{
|
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|
|
d v ^ = g a l o i s . m u l E x p ( s i g m a [ j + 1 ] , ( z l o g * j ) % g a l o i s . M a x ) ; / / d v + = <EFBFBD>< j + 1 > * z ^ j
|
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}
|
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|
/ *
|
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|
|
* <EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>ck E ^ i = <EFBFBD>^ i * <EFBFBD>( z ) / <EFBFBD>' ( z )
|
|
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|
|
|
* <EFBFBD><EFBFBD><EFBFBD>0MOnn0<EFBFBD>{<EFBFBD>Vo0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>c"}n0h0M0k0<6B>O<<3C>U0<55>0f0D0<44>0n0g00
|
|
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|
|
* S0S0g0o0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0W0j0D0
|
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|
* /
|
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|
|
r e t u r n g a l o i s . m u l ( p s , g a l o i s . d i v ( o v , d v ) ) ;
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
p u b l i c c l a s s R s D e c o d e 8 : R s D e c o d e
|
|
|
|
|
|
{
|
|
|
|
|
|
p u b l i c R s D e c o d e 8 ( i n t n p a r )
|
|
|
|
|
|
: b a s e ( n p a r , G a l o i s 8 1 D . i n s t a n c e )
|
|
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|
|
{
|
|
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|
|
|
}
|
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|
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|
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|
|
/ * *
|
|
|
|
|
|
* F o r n e y <EFBFBD>lg0<EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>ck<EFBFBD>0L<EFBFBD>F0
|
|
|
|
|
|
* <EFBFBD>( z ) = ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z )
|
|
|
|
|
|
* <EFBFBD>' ( z ) = <EFBFBD>^ i * ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + <EFBFBD>^ j * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + <EFBFBD>^ k * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) . . .
|
|
|
|
|
|
* <EFBFBD>( z ) = ( E ^ i / ( 1 - <EFBFBD>^ i * z ) + E ^ j / ( 1 - <EFBFBD>^ j * z ) + . . . ) * <EFBFBD>( z )
|
|
|
|
|
|
* = E ^ i * ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + E ^ j * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + E ^ k * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) . . .
|
|
|
|
|
|
* 4" E ^ i = <00>^ i * <00>( z ) / <00>' ( z )
|
|
|
|
|
|
* @ p a r a m d a t a i n t [ ]
|
|
|
|
|
|
* eQ<EFBFBD>R<EFBFBD>0<EFBFBD>0<EFBFBD>0M<EFBFBD>R
|
|
|
|
|
|
* @ p a r a m l e n g t h i n t
|
|
|
|
|
|
* eQ<EFBFBD>R<EFBFBD>0<EFBFBD>0<EFBFBD>0w<EFBFBD>U0
|
|
|
|
|
|
* @ p a r a m j i s u i n t
|
|
|
|
|
|
* <EFBFBD>n0!kpe
|
|
|
|
|
|
* @ p a r a m p o s i n t [ ]
|
|
|
|
|
|
* <EFBFBD><EFBFBD><EFBFBD>0MOnM<EFBFBD>R
|
|
|
|
|
|
* @ p a r a m s i g m a i n t [ ]
|
|
|
|
|
|
* <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>< j i s u >
|
|
|
|
|
|
* @ p a r a m o m e g a i n t [ ]
|
|
|
|
|
|
* <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>< j i s u - 1 >
|
|
|
|
|
|
* /
|
|
|
|
|
|
p r i v a t e u n s a f e v o i d d o F o r n e y ( b y t e [ ] d a t a , i n t l e n g t h , i n t j i s u , i n t [ ] p o s , i n t [ ] s i g m a , i n t [ ] o m e g a )
|
|
|
|
|
|
{
|
|
|
|
|
|
f i x e d ( i n t * s = s i g m a , o = o m e g a )
|
|
|
|
|
|
f o r ( i n t i = 0 ; i < j i s u ; i + + )
|
|
|
|
|
|
{
|
|
|
|
|
|
i n t p s = p o s [ i ] ;
|
|
|
|
|
|
d a t a [ g a l o i s . t o P o s ( l e n g t h , p s ) ] ^ = ( b y t e ) d o F o r n e y ( j i s u , p s , s , o ) ;
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/ * *
|
|
|
|
|
|
* R S <EFBFBD>0<EFBFBD>0<EFBFBD>0n0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0
|
|
|
|
|
|
*
|
|
|
|
|
|
* @ p a r a m d a t a i n t [ ]
|
|
|
|
|
|
* eQ<EFBFBD>R<EFBFBD>0<EFBFBD>0<EFBFBD>0M<EFBFBD>R
|
|
|
|
|
|
* @ p a r a m l e n g t h i n t
|
|
|
|
|
|
* <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0+T<EFBFBD>0_0<EFBFBD>0<EFBFBD>0<EFBFBD>0w<EFBFBD>
|
|
|
|
|
|
* @ p a r a m n o C o r r e c t b o o l e a n
|
|
|
|
|
|
* <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0n00g0<EFBFBD>cko0L<EFBFBD><EFBFBD>0j0D0
|
|
|
|
|
|
* @ r e t u r n b o o l
|
|
|
|
|
|
* 0 : <EFBFBD>0<EFBFBD>0<EFBFBD>0j0W0
|
|
|
|
|
|
* > 0 : ;b<EFBFBD>0$P Pn0<EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>0<EFBFBD>ckW0_0
|
|
|
|
|
|
* < 0 : <EFBFBD>ck
N<EFBFBD><EFBFBD>
|
|
|
|
|
|
* /
|
|
|
|
|
|
p u b l i c b o o l d e c o d e ( b y t e [ ] d a t a , i n t l e n g t h , b o o l n o C o r r e c t , o u t i n t e r r o r s )
|
|
|
|
|
|
{
|
|
|
|
|
|
i f ( l e n g t h < n p a r | | l e n g t h > g a l o i s . M a x )
|
|
|
|
|
|
t h r o w n e w E x c e p t i o n ( " R s D e c o d e : w r o n g l e n g t h " ) ;
|
|
|
|
|
|
|
|
|
|
|
|
e r r o r s = 0 ;
|
|
|
|
|
|
|
|
|
|
|
|
/ / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD><EFBFBD>{
|
|
|
|
|
|
i n t [ ] s y n = n e w i n t [ n p a r ] ;
|
|
|
|
|
|
i f ( g a l o i s . c a l c S y n d r o m e ( d a t a , l e n g t h , s y n ) )
|
|
|
|
|
|
r e t u r n t r u e ; / / <EFBFBD>0<EFBFBD>0<EFBFBD>0!qW0
|
|
|
|
|
|
|
|
|
|
|
|
/ / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>h0<EFBFBD><EFBFBD>0Bl<EFBFBD>0<EFBFBD>0
|
|
|
|
|
|
i n t [ ] s i g m a = n e w i n t [ n p a r / 2 + 2 ] ;
|
|
|
|
|
|
i n t [ ] o m e g a = n e w i n t [ n p a r / 2 + 1 ] ;
|
|
|
|
|
|
i n t j i s u = c a l c S i g m a M B M ( s i g m a , o m e g a , s y n ) ;
|
|
|
|
|
|
i f ( j i s u < = 0 )
|
|
|
|
|
|
r e t u r n f a l s e ;
|
|
|
|
|
|
|
|
|
|
|
|
/ / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>c"}k0<6B>0<EFBFBD>0<EFBFBD><30><EFBFBD>0MOn<6E>0Bl<42>0<EFBFBD>0
|
|
|
|
|
|
i n t [ ] p o s = n e w i n t [ j i s u ] ;
|
|
|
|
|
|
i f ( ! c h i e n S e a r c h ( p o s , l e n g t h , j i s u , s i g m a ) )
|
|
|
|
|
|
r e t u r n f a l s e ;
|
|
|
|
|
|
i f ( ! n o C o r r e c t ) / / <EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>ck
|
|
|
|
|
|
d o F o r n e y ( d a t a , l e n g t h , j i s u , p o s , s i g m a , o m e g a ) ;
|
|
|
|
|
|
e r r o r s = j i s u ;
|
|
|
|
|
|
r e t u r n t r u e ;
|
|
|
|
|
|
}
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
p u b l i c c l a s s R s D e c o d e 1 6 : R s D e c o d e
|
|
|
|
|
|
{
|
|
|
|
|
|
p u b l i c R s D e c o d e 1 6 ( i n t n p a r , G a l o i s g a l o i s )
|
|
|
|
|
|
: b a s e ( n p a r , g a l o i s )
|
|
|
|
|
|
{
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
p u b l i c R s D e c o d e 1 6 ( i n t n p a r )
|
|
|
|
|
|
: t h i s ( n p a r , G a l o i s 1 6 . i n s t a n c e )
|
|
|
|
|
|
{
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
/ * *
|
|
|
|
|
|
* F o r n e y <EFBFBD>lg0<EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>ck<EFBFBD>0L<EFBFBD>F0
|
|
|
|
|
|
* <EFBFBD>( z ) = ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z )
|
|
|
|
|
|
* <EFBFBD>' ( z ) = <EFBFBD>^ i * ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + <EFBFBD>^ j * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + <EFBFBD>^ k * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) . . .
|
|
|
|
|
|
* <EFBFBD>( z ) = ( E ^ i / ( 1 - <EFBFBD>^ i * z ) + E ^ j / ( 1 - <EFBFBD>^ j * z ) + . . . ) * <EFBFBD>( z )
|
|
|
|
|
|
* = E ^ i * ( 1 - <EFBFBD>^ j * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
|
|
* + E ^ j * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ k * z ) . . .
|
|
|
|
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* + E ^ k * ( 1 - <EFBFBD>^ i * z ) ( 1 - <EFBFBD>^ j * z ) . . .
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* 4" E ^ i = <00>^ i * <00>( z ) / <00>' ( z )
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* @ p a r a m d a t a i n t [ ]
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* eQ<EFBFBD>R<EFBFBD>0<EFBFBD>0<EFBFBD>0M<EFBFBD>R
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* @ p a r a m l e n g t h i n t
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* eQ<EFBFBD>R<EFBFBD>0<EFBFBD>0<EFBFBD>0w<EFBFBD>U0
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* @ p a r a m j i s u i n t
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* <EFBFBD>n0!kpe
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* @ p a r a m p o s i n t [ ]
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* <EFBFBD><EFBFBD><EFBFBD>0MOnM<EFBFBD>R
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* @ p a r a m s i g m a i n t [ ]
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* <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>< j i s u >
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* @ p a r a m o m e g a i n t [ ]
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* <EFBFBD>0 , <EFBFBD>1 , <EFBFBD>2 , . . . <EFBFBD>< j i s u - 1 >
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* /
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p r i v a t e u n s a f e v o i d d o F o r n e y ( u s h o r t * d a t a , i n t l e n g t h , i n t j i s u , i n t [ ] p o s , i n t [ ] s i g m a , i n t [ ] o m e g a )
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{
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f i x e d ( i n t * s = s i g m a , o = o m e g a )
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f o r ( i n t i = 0 ; i < j i s u ; i + + )
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{
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i n t p s = p o s [ i ] ;
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d a t a [ g a l o i s . t o P o s ( l e n g t h , p s ) ] ^ = ( u s h o r t ) d o F o r n e y ( j i s u , p s , s , o ) ;
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}
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}
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/ * *
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* R S <EFBFBD>0<EFBFBD>0<EFBFBD>0n0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0
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*
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* @ p a r a m d a t a i n t [ ]
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* eQ<EFBFBD>R<EFBFBD>0<EFBFBD>0<EFBFBD>0M<EFBFBD>R
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* @ p a r a m l e n g t h i n t
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0+T<EFBFBD>0_0<EFBFBD>0<EFBFBD>0<EFBFBD>0w<EFBFBD>
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* @ p a r a m n o C o r r e c t b o o l e a n
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* <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0n00g0<EFBFBD>cko0L<EFBFBD><EFBFBD>0j0D0
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* @ r e t u r n b o o l
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* 0 : <EFBFBD>0<EFBFBD>0<EFBFBD>0j0W0
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* > 0 : ;b<EFBFBD>0$P Pn0<EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>0<EFBFBD>ckW0_0
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* < 0 : <EFBFBD>ck
N<EFBFBD><EFBFBD>
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* /
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p u b l i c u n s a f e b o o l d e c o d e ( u s h o r t * d a t a , i n t l e n g t h , b o o l n o C o r r e c t , o u t i n t e r r o r s )
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{
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i f ( l e n g t h < n p a r | | l e n g t h > g a l o i s . M a x )
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t h r o w n e w E x c e p t i o n ( " R s D e c o d e : w r o n g l e n g t h " ) ;
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e r r o r s = 0 ;
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/ / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD><EFBFBD>{
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i n t [ ] s y n = n e w i n t [ n p a r ] ;
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i f ( g a l o i s . c a l c S y n d r o m e ( d a t a , l e n g t h , s y n ) )
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r e t u r n t r u e ; / / <EFBFBD>0<EFBFBD>0<EFBFBD>0!qW0
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/ / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>h0<EFBFBD><EFBFBD>0Bl<EFBFBD>0<EFBFBD>0
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i n t [ ] s i g m a = n e w i n t [ n p a r / 2 + 2 ] ;
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i n t [ ] o m e g a = n e w i n t [ n p a r / 2 + 1 ] ;
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i n t j i s u = c a l c S i g m a M B M ( s i g m a , o m e g a , s y n ) ;
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i f ( j i s u < = 0 )
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r e t u r n f a l s e ;
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/ / <EFBFBD>0<EFBFBD>0<EFBFBD>0<EFBFBD>c"}k0<6B>0<EFBFBD>0<EFBFBD><30><EFBFBD>0MOn<6E>0Bl<42>0<EFBFBD>0
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i n t [ ] p o s = n e w i n t [ j i s u ] ;
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i f ( ! c h i e n S e a r c h ( p o s , l e n g t h , j i s u , s i g m a ) )
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r e t u r n f a l s e ;
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i f ( ! n o C o r r e c t ) / / <EFBFBD><EFBFBD><EFBFBD>0<EFBFBD>ck
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d o F o r n e y ( d a t a , l e n g t h , j i s u , p o s , s i g m a , o m e g a ) ;
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e r r o r s = j i s u ;
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r e t u r n t r u e ;
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}
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p u b l i c u n s a f e b o o l d e c o d e ( b y t e [ ] d a t a , i n t d a t a p o s , i n t l e n g t h , b o o l n o C o r r e c t , o u t i n t e r r o r s )
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{
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i f ( ( l e n g t h & 1 ) ! = 0 )
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t h r o w n e w E x c e p t i o n ( " R s D e c o d e : w r o n g l e n g t h " ) ;
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f i x e d ( b y t e * b y t e s = & d a t a [ d a t a p o s ] )
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r e t u r n d e c o d e ( ( u s h o r t * ) b y t e s , l e n g t h > > 1 , n o C o r r e c t , o u t e r r o r s ) ;
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}
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}
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}
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