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

By Keqin Feng, Harald Niederreiter, Chaoping Xing

It has lengthy been famous that there are interesting connections among cod­ ing conception, cryptology, and combinatorics. for that reason it appeared fascinating to us to prepare a convention that brings jointly specialists from those 3 components for a fruitful trade of principles. We selected a venue within the Huang Shan (Yellow Mountain) quarter, probably the most scenic components of China, for you to give you the extra inducement of a beautiful place. 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 acquainted with occasions in East Asia within the first half 2003 can bet what occurred in spite of everything, particularly the convention needed to be cancelled within the curiosity of the overall healthiness of the contributors. The SARS epidemic posed too severe a danger. on the time of the cancellation, the association of the convention used to be at a complicated degree: all invited audio system were chosen and all abstracts of contributed talks have been screened through this system committee. therefore, it was once de­ cided to name on all invited audio system and presenters of approved contributed talks to put up 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 accredited for publication.

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For U E D, define idT(u) ~ idT(D). For U in a coset in T, let T(u) or T(idT(u)) denote the coset which contains u. For 1 For simplicity, unquantized case will be considered. 2For u"# u' in U, the probability that L(u) = L(u') is zero. Adaptive Recursive MLD Algorithm 31 T = AI/A2' we choose a linear code, denoted [T], with dimension m = log21TI as the set of coset leaders of AI/A2. Let {gl,g2' ... ,gm} be a chosen basis of [T]. 2) For id E Id Al/ A2 , let /-LAl/A2(id) or simply /-L(id) denote the coset leader of a coset whose id-number is id.

Chee, S. Lee, D. H. Sung. On the correlation immune functions and their nonlinearity. Proceedings of Asiacrypt'96, LNCS 1163, pp. 232-243. F. Dillon. Elementary Hadamard Difference sets. Ph. D. Thesis, Univ. of Maryland, 1974. H. Evertse. Linear structures in block ciphers. In Advances in Cryptology - EUROCRYPT' 87, no. 304 in Lecture Notes in Computer Science, Springer Verlag, pp. 249-266, 1988. [14] T. R. Knudsen. The interpolation attack on block ciphers. Fast Software Encryption'g7, Lecture Notes in Computer Science 1267, pp.

8) A. 1. Recursive Implementation of pick(T) Based on the Coarsest Parallel Concatenation Decomposition There are two cases to be considered. (Case I) B = A, T = {D}. For this case, T consists of a single coset in A' / A, and pick(D) is called only once. For example, let Q: = A and A' = A = B = C. Then, D = C E T>. = C/C, and PF = C/(soC 0 SIC), Fb = PbC/SbC = nand pick(D) is an example of Case r. Another example is pick(n(id)). (Case II) B #- A, D #- A. 1). Assume that s"'C ~ soA 0 SIA. 9) holds if the following relation is true: B ~ soA 0 s1A.

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