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By Huaxiong Wang, Yongqing Li, Shengyuan Zhang

Li Y., Ling S., Niederreiter H., Wang H., Xing C. (eds.) Coding and Cryptology.. complaints of the overseas Workshop, Wuyi Mountain, Fujian, China, 11-15 June 2007 (WS, 2008)(ISBN 9812832238)(O)(288s)

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Coding and cryptology: proceedings of the international workshop, Wuyi Mountain, Fujian, China 11-15 June 2007

Li Y. , Ling S. , Niederreiter H. , Wang H. , Xing C. (eds. ) Coding and Cryptology. . lawsuits of the overseas Workshop, Wuyi Mountain, Fujian, China, 11-15 June 2007 (WS, 2008)(ISBN 9812832238)(O)(288s)

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Extra info for Coding and cryptology: proceedings of the international workshop, Wuyi Mountain, Fujian, China 11-15 June 2007

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2 For self-completeness, let us recall the reasons why this is true. Consider the Reed-Muller code of length 2n and of order n−1 2 . e. is its own orthogonal as a vector subspace of F2n , endowed with the usual inner product “·”) see ref. 29. Let G be a generator matrix of this code. Each column of G is labeled by a vector of F2n . Saying that f has no non-zero annihilator of degree at most n−1 2 is equivalent to saying that the matrix obtained by selecting those columns of G corresponding to the elements of the support of f has full rank n−1 2 i=0 n i = 2n−1 .

MacWilliams and N. J. A. Sloane. The theory of error-correcting codes, Elsevier, North-Holland, 1977. 30. W. Meier, E. Pasalic and C. Carlet. Algebraic attacks and decomposition of Boolean functions. In Advances in Cryptology - EUROCRYPT 2004, number 3027 in Lecture Notes in Computer Science, pp. 474–491. Springer Verlag, 2004. 31. F. Rodier. Asymptotic nonlinearity of Boolean functions. Designs, Codes and Cryptography, no 40:1 2006, pp 59-70. 32. S. Rønjom and T. Helleseth. A new attack on the filter generator.

In eds. V. Pless and W. C. Huffman, Handbook of Coding Theory, vol. 1, pp. 499–648. Elsevier Science, Amsterdam, (1998). 2. A. Barg and D. Nogin, Spectral approach to linear programming bounds on codes, Problems of Information Transmission. 42, 12–25, (2006). 3. A. Barg and P. Purkayastha, Bounds on ordered codes and orthogonal arrays. arxiv:CS/0702033. 4. V. I. Levenshtein. On choosing polynomials to obtain bounds in packing problems. In Proc. 7th All-Union Conf. Coding Theory and Information Transmission,Part 2, pp.

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