Download e-book for kindle: Algebraic Algorithms and Error-Correcting Codes: 3rd by Jaques Calmet

By Jaques Calmet

ISBN-10: 3540167765

ISBN-13: 9783540167761

ISBN-10: 3540398554

ISBN-13: 9783540398554

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Read or Download Algebraic Algorithms and Error-Correcting Codes: 3rd International Conference, AAECC-3 Grenoble, France, July 15–19, 1985 Proceedings PDF

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Extra resources for Algebraic Algorithms and Error-Correcting Codes: 3rd International Conference, AAECC-3 Grenoble, France, July 15–19, 1985 Proceedings

Sample text

N. J, A. Sloane: The Cohen: CETHEDEC Univ. o f G. with D i s t i n c t P r o t e c t i v e 32 (1983), 379 - 396. North-Holland, Monteron, Rev. H. Paris S~r A - E, and S t e i n e r - 200. Radii; Atti Sem. Mat. Modena, 7. 12. 26 C v e t k o v i ~ , J. H. van Lint: An E l e m e n t a r y Proof of Lloyd's Theorem; N e d e r l . Akad. W e t e n s c h . Indag. M a t h . , 80 (1977), 6 - 10. Fis. 11. (2), G. Cohen, B. Montaron: Empilements p a r f a i t s de boules dens los espaces vectoriels 288 (1979), no 11, I0.

O,m-l] a descendant of t ; the s e t of t h e d e s - D(t). al. property for sum i d e n t i f i e d w i t h its m m-i i n a t e s in t h e p - b a s i s , ( S o , . . , Sm_ I) : s = ~ siP with s. 6 i=O l So w e c a n i n t r o d u c e a n o r d e r r e l a t i o n o v e r S denoted ~ : (5) S = [O,n ] . Each n-i Z a. i s i=O so t h a t the t h e n be d e f i n e d is t h e d e f i n i t i o n - s e t e n-i o n-i i ( - Z ai)X + ~ aiX~ i=O i=O , a' = a verifies can e x gS = O, g {O } ; T Ce codeword The code C e = { xE A I Z gEG where ; a'C each T.

Jn ) for l e x i c o g r a p h i c a l o r d e r i n g in ~n. • P a r t i a l l e x i c o g r a p h i c a l o r d e r i n g in ~ q [ X I ..... Xn] iI in Jl if i I +.. + i n < j l + . . + j n X 1 ... X n < X 1 ... X~ n • Q • (ii ..... in) in ~ n . Definition Jl iI X I ... X n n ~ X 1 ... X ~n ~ . + in . =. Jl +" (J1' .... Jn ) for l e x i c o g r a p h i e a l "+Jn' a n d ordering 2 Let Q be a p o l y n o m i a l . D e f i n e Hterm(Q) in the e x p r e s s i o n (for the p r e v i o u s of Q to be the m a x i m a l ordering).

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Algebraic Algorithms and Error-Correcting Codes: 3rd International Conference, AAECC-3 Grenoble, France, July 15–19, 1985 Proceedings by Jaques Calmet


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