Download Coding and cryptology: proceedings of the international by Huaxiong Wang, Yongqing Li, Shengyuan Zhang PDF

By Huaxiong Wang, Yongqing Li, Shengyuan Zhang

ISBN-10: 9812832238

ISBN-13: 9789812832238

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

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A. Canteaut and M. Trabbia. Improved fast correlation attacks using paritycheck equations of weight 4 and 5. In EUROCRYPT 2000, number 1807 in Lecture Notes in Computer Science, pp. 573–588. Springer Verlag, 2000. 11. 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 in 2006. html 12. C. Carlet. On the higher order nonlinearities of algebraic immune functions.

1. For every nonzero vector u of weight less than n/2 and every subset L of the set of those vectors of weight n/2, whose supports neither are disjoint of the support of u nor contain it, the weight of function fu,L n + |L|. Hence, fu,L is balanced if and only + n−wt(u) equals 2n−1 − 12 n/2 n/2 if |L| = 1 n 2 n/2 − n−wt(u) n/2 . Given u = 0, there always exists such L. We skip the easy proof of this lemma. 3, we take bi = ai ∨wi (resp. ci = ai \ wi ) where the support of w i is included in the support of u, we obtain a more general construction.

In the first case we suppose that a2 a3 + 1 = 0. Then the poles are distinct elements of Fq given by x1 = −a1 /a0 , x2 = −(a1 a2 + 1)/a0 a2 , x3 = −(a1 (a2 a3 + 1) + a3 )/(a0 (a2 a3 + 1)). In this case we have by (5) that P3 (x) = (F3 (x2 ) F3 (x1 ) F3 (x3 ))F3 (x) (12) with F3 (x) = R3 (x) if x = x3 and F3 (x3 ) = a2 /(a2 a3 + 1).

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