Download Coding, Cryptography and Combinatorics by Keqin Feng, Harald Niederreiter, Chaoping Xing PDF

By Keqin Feng, Harald Niederreiter, Chaoping Xing

It has lengthy been well-known that there are attention-grabbing connections among cod­ ing idea, cryptology, and combinatorics. accordingly it appeared fascinating to us to prepare a convention that brings jointly specialists from those 3 parts for a fruitful trade of rules. We selected a venue within the Huang Shan (Yellow Mountain) area, the most scenic parts of China, in an effort to give you the extra inducement of a beautiful position. The convention was once deliberate for June 2003 with the reliable name Workshop on Coding, Cryptography and Combi­ natorics (CCC 2003). those who find themselves conversant in occasions in East Asia within the first half 2003 can wager what occurred in any case, specifically the convention needed to be cancelled within the curiosity of the healthiness of the individuals. The SARS epidemic posed too severe a chance. on the time of the cancellation, the association of the convention was once at a sophisticated degree: all invited audio system were chosen and all abstracts of contributed talks were screened through this system committee. therefore, it was once de­ cided to name on all invited audio system and presenters of authorized contributed talks to post their manuscripts for ebook within the current quantity. Altogether, 39 submissions have been acquired and subjected to a different around of refereeing. After care­ ful scrutiny, 28 papers have been approved for publication.

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Extra resources for Coding, Cryptography and Combinatorics

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10) Suppose r < m -l. EPr,m-l-l From the definition of P Fa for C = RMr,m, we have that m-l-1 ) log21PFa i = ( r . 12) 2m - I- 1 For r ;::: m - i, PabRMr,m = sb(PaRMr,m) = RMm-l-1,m-l-l = V log21PFa i = 0. For comparison, IPTa I = IPaCI(sao(C) 0 Sal(C))1 for C = RMr,m is log2IPaRMr,ml/lsaoRMr,mI2 min{r,m-l} ( '" ~ ) m :- l _ r~l { 2 ~ Z '" ~ i=r-l min{r,m-l} ( L i ' for r i=O ) m-i i _ ( m-l-l ) , for r > i, r-i-1 ) m;i, > l, for r ::; l. 13) for r ::; i. i=O 5. Search Procedure for vT(i) Let lab with b E {O, I} be a nonleaf section.

Kluwer Academic Publishers, 1994. [17] S. Leveiller, G. Zemor, P. Guillot and J. Boutros. A new cryptanalytic attack for PN-generators filtered by a Boolean function. Proceedings of Selected Areas of Cryptography 2002, LNCS 2595, pp. 232-249 (2003). J. J. Sloane. The Theory of Error-Correcting Codes, Amsterdam, North Holland, 1977. [19] S. Maitra and E. Pasalic. Further constructions of resilient Boolean functions with very high nonlinearity. IEEE Transactions on Information Theory, vol. 48 (7), pp.

4). Adaptive Recursive MLD Algorithm 35 In the original (bottom~up) RMLD, Ta-table whose entries are (v[D], L[D]) for every D E Ta is constructed for every index a. For a leaf section Ia where IIa I = I, PaC 5;;; {O, I} and saC = {O} (if the minimum distance of Cis 2 or greater), and therefore Ta-table = {(b, La (b)) : b is the best in PaC}. 2) as follows: for DE T a , v[D] = v[{DooDI : Db E Tab, (Do, Dd is an adjacent pair in D}], L[D] = min(L[Do] + L[D I]), where the minimum is taken over (Do, D I ) E the set of adjacent pairs in D.

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