Information Theory

Keqin Feng, Harald Niederreiter, Chaoping Xing's Coding, Cryptography and Combinatorics PDF

By Keqin Feng, Harald Niederreiter, Chaoping Xing

ISBN-10: 3034878656

ISBN-13: 9783034878654

ISBN-10: 3034896026

ISBN-13: 9783034896023

It has lengthy been famous that there are attention-grabbing connections among cod­ ing thought, cryptology, and combinatorics. hence it appeared fascinating to us to prepare a convention that brings jointly specialists from those 3 parts for a fruitful alternate of rules. We selected a venue within the Huang Shan (Yellow Mountain) quarter, the most scenic components of China, with a purpose to give you the extra inducement of a beautiful situation. The convention was once deliberate for June 2003 with the legit name Workshop on Coding, Cryptography and Combi­ natorics (CCC 2003). those who find themselves accustomed to occasions in East Asia within the first 1/2 2003 can wager what occurred after all, specifically the convention needed to be cancelled within the curiosity of the health and wellbeing of the members. The SARS epidemic posed too critical a chance. 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 by means of this system committee. therefore, it used to be de­ cided to name on all invited audio system and presenters of permitted contributed talks to put up their manuscripts for booklet within the current quantity. Altogether, 39 submissions have been obtained and subjected to a different around of refereeing. After care­ ful scrutiny, 28 papers have been approved for publication.

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4. In his Allerton conference paper [3] in 1997, Elkies listed six families of elliptic modular curves {Xo(£n)} for £ = 2,3,4,5,6, and {X o(3· 2n )}, as well as two families of Shimura curves, showing that their induction mod p for primes p not dividing the level yield recursively defined asymptotically optimal towers over IF p2. We shall explain some of these families in the next section. It should be pointed out that the first two towers are wild towers, meaning that wild ramifications occur in the consecutive field extensions, while the towers in [4] are tame towers, that is, at most tame ramifications occurring in consecutive extensions.

Kasami, H. Tokushige, T. Fujiwara, H. Yamamoto and S. Lin, "A recursive maximum likelihood decoding algorithm for some transitive invariant binary block codes," IEICE Trans. Fundamentals, vol. E81-A, pp. 1916-1924, Sept. 1998. [7J T. Koumoto, and T. Kasami, "Top-down recursive maximum likelihood decoding using ordered statistics information for half rate codes," Technical Report of IEICE, IT2002-29, The Institute of Electronics, Information and Communication Engineers, pp. 13-18, Japan, Sept. 2002.

1, w' c ... , ........... 5 2 . _. _... ~ ...... 5 4 Ew'N'o(dB) Figure 6: Average numbers of AEO. 10) +v E B for u, We can choose a generator matrix G B of B of the following form: GB = [=G~: ~~~=,:] , (B-1) B,0,1 where GB,b with b E {O, I} is a generator matrix of SbB and GB,0,1 is a generator matrix of [Bj(soBos 1 B)J. 5), there is a one-to-one correspondence between the sets of rows in PoGB,0,1 and P 1G B ,0,1, respectively. 10), we can choose a generator matrix Gb of sbA of the form: and submatrix Adaptive Recursive MLD Algorithm 49 is a generator matrix of [SbA/ SbB].

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

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