Download Applied Algebra, Algebraic Algorithms and Error-Correcting by Claude Carlet (auth.), Marc P. C. Fossorier, Hideki Imai, PDF

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

This e-book constitutes the refereed complaints of the sixteenth foreign 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 provided including 7 invited papers have been rigorously reviewed and chosen from 32 submissions. one of the matters addressed are block codes; algebra and codes: jewelry, 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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Extra 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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43. G. Leander. Bent functions with 2r Niho exponents. Proceedings of the Workshop on Coding and Cryptography 2005, Bergen, pp. 454-461, 2005. 44. G. Leander. Monomial bent functions. Proceedings of the Workshop on Coding and Cryptography 2005, Bergen, pp. 462-470, 2005. 45. F. J. Mac Williams and N. J. Sloane. The theory of error-correcting codes, Amsterdam, North Holland, 1977. 46. S. Maity and S. Maitra. Minimum distance between bent and 1-resilient Boolean functions. Proceedings of Fast Software Encryption 2004, LNCS 3017, pp.

The function σ2 (ux, ) ⊕ σ2 (vx, ) can then be obtained through the Kerdock-like construction from the function fu ⊕ fv and the vectors a = (0, 1) and b = (u + v, 0). The hypothesis of Proposition 4 is satisfied thanks ⊥ to the fact that b does not belong to Eu,v (this can be checked by showing that ⊥ 2 2 Eu,v = {(u + v )y + utr(uy) + vtr(vy); y ∈ F2m }). A Primary Construction of Bent Functions Deduced from Theorem 3 Proposition 5. Let n be any positive even integer. Let π1 , π2 , π3 be three pern/2 mutations on F2 such that π1 ⊕ π2 ⊕ π3 is also a permutation and such that the inverse of π1 ⊕ π2 ⊕ π3 equals π1−1 ⊕ π2−1 ⊕ π3−1 .

50, pp. 2178-2185, 2004. 16. C. Carlet. Concatenating indicators of flats for designing cryptographic functions. 189 - 202, 2005. 17. C. Carlet. Designing bent functions and resilient functions from known ones, without extending their number of variables. Proceedings of International Symposium on Information Theory 2005. 18. C. Carlet. Boolean Functions for Cryptography and Error Correcting Codes. Chapter of the monography Boolean Methods and Models, Y. Crama and P. Hammer eds, Cambridge University Press, to appear (winter 2005-2006).

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