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Read e-book online Applied Algebra, Algebraic Algorithms and Error-Correcting PDF

By Claude Carlet (auth.), Marc P. C. Fossorier, Hideki Imai, Shu Lin, Alain Poli (eds.)

ISBN-10: 3540314237

ISBN-13: 9783540314233

This booklet constitutes the refereed court cases of the sixteenth overseas Symposium on utilized Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-16, held in Las Vegas, NV, united states in February 2006.

The 25 revised complete papers awarded including 7 invited papers have been conscientiously reviewed and chosen from 32 submissions. one of the topics addressed are block codes; algebra and codes: earrings, fields, and AG codes; cryptography; sequences; interpreting algorithms; and algebra: structures in algebra, Galois teams, differential algebra, and polynomials.

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Read Online or Download Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006. Proceedings PDF

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Additional info for Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006. Proceedings

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Rose. Rewriting variables: the complexity of fast algebraic attacks on stream ciphers. Cryptology ePrint Archive, Report 2004/081, 2004. org/2004/081. 37. -D. Hou. New constructions of bent functions, International Conference on Combinatorics, Information Theory and Statistics; Journal of Combinatorics, Information and System Sciences, Vol. 24, Nos. 3-4, pp. 275-291, 1999. 38. -D. Hou. Group actions on binary resilient functions. Appl. Algebra Eng. Commun. Comput. 14(2), pp. 97-115, 2003. 39. -D.

Proof. If p (x) = p (y), then dH (M x, M y) ≥ 2. , dH (x, y) = dH (M x, M y). As we shall see below, for q = 2 and q = 3 all GPC’s are monomially equivalent, but the next theorem guarantees that for most values of q, there exist more than one monomial equivalence class. 2. If G and H are nonisomorphic groups of order q, then for k ≥ 2, pG and pH are not monomially equivalent. Proof. Omitted. Let us denote by N (k, q) the number of nonisomorphic (k, q) GPC’s. The following table summarizes what we know about this number.

C. Carlet. More correlation-immune and resilient functions over Galois fields and Galois rings. Advances in Cryptology, EUROCRYPT’ 97, Lecture Notes in Computer Science 1233, 422-433, Springer Verlag, 1997. 10. C. Carlet. Recent results on binary bent functions. International Conference on Combinatorics, Information Theory and Statistics; Journal of Combinatorics, Information and System Sciences, Vol. 24, Nos. 3-4, pp. 275-291, 1999. 26 C. Carlet 11. C. Carlet. On the coset weight divisibility and nonlinearity of resilient and correlation-immune functions, Proceedings of SETA’01 (Sequences and their Applications 2001), Discrete Mathematics and Theoretical Computer Science, Springer, pp.

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006. Proceedings by Claude Carlet (auth.), Marc P. C. Fossorier, Hideki Imai, Shu Lin, Alain Poli (eds.)


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