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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 5th International Co Llorenç Huguet,Alain Poli Conference proceedings 198

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发表于 2025-3-21 18:16:43 | 显示全部楼层 |阅读模式
期刊全称Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
期刊简称5th International Co
影响因子2023Llorenç Huguet,Alain Poli
视频video
学科分类Lecture Notes in Computer Science
图书封面Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 5th International Co Llorenç Huguet,Alain Poli Conference proceedings 198
影响因子The present volume contains the proceedings of the AAECC-5 Conference held at Menorca (Balearic Islands), June 15-19, 1987. The annual International AAECC Conference covers a range of topics related to Applied Algebra, Error-Correcting Codes, Finite Algebraic Structures, Computational Methods and Complexity in Algebra and Geometry. For the AAECC-5 Conference 73 papers were presented. Out of these thirty papers were selected for publication in the proceedings. They deal with topics such as error correcting codes (concerning problems of covering radius, decoding methods, expert systems and general results in coding theory), computational algebra, Gröbner basis, complexity, finite algebra and graphs. The proceedings of the 6th conference are published as Vol. 357 of the .Lecture Notes in Computer . .Science..
Pindex Conference proceedings 1989
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发表于 2025-3-21 22:41:48 | 显示全部楼层
Covering radius for codes obtained from T(m) triangular graphs,damental circuit matrix for it. Using this matrix as a generator matrix we can obtain a single-error-correcting linear code C(T(m)) with parameters:.n=(m(m−1) (m−2))/2, k=(m(m−1) (m−3)+2)/2 and d=3..Using the fact that each codeword in C(T(m)) is formed by a combination of simple circuits in T(m), w
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An Iterative Euclidean Algorithm,an extended algorithm. We show how all polynomials obtained by the classical extended Euclidean algorithm are actually automatically produced by that iterative process..In sum, an algorithm is given which is as economical as BERLEKAMP‘s for decoding and which is proved to perform decoding of alterna
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Distribution of codewords and decoding error rate in rs codes with application to performance evaluconcerning to it remain to be some treatments. Now, in this paper, we propose a new strategy to determine error rate (measured in bits, symbols,..) suitable for ECC design as well as for performance evaluation to optical disc. It is different essentially from those traditional ones in principle. As
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Newton symmetric functions and the arithmetic of algebraically closed fields,omial whose roots are the sum (resp. the product) of the roots of two given polynomials. This formula is obtained considering a transformation sending a polynomial in the sequence of its Newton symmetric functions, and allows to obtain a better bound for the complexity of the computation of the abov
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Non linear covering codes : A few results and conjectures, For fixed t, μ. (t) is upperbounded by a real number c(t) independent of n. For t=1, one can take c(1)=1.5. We conjecture : .. μ.(1)=1. Another conjecture is : . K(n+2,t+1)≤K(n,t). We prove this for t=1 and discuss a possible way of proving it for higher t, by extensions of the concept of normality.
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