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Titlebook: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes; 11th International S Gérard Cohen,Marc Giusti,Teo Mora Conference proceed

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On algebraic methods in covering radius problems,We discuss how characters of finite fields and exponential sums can be applied to covering radius problems. In particular we study the covering radius of BCH codes, and upper bounds on the covering radius of a code with a given dual distance.
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Computation in algebraic function fields for effective construction of algebraic-geometric codes,We present a method for effective construction of algebraic-geometric codes based on the Brill-Noether algorithm. This paper is based on a paper by Le Brigand and Risler [8], but the presentation uses only the theory of algebraic function fields of one variable.
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https://doi.org/10.1007/3-540-60114-7Symbol; algorithm; algorithms; communication; computer; computer algebra; error-correcting code; combinator
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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes978-3-540-49440-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Division of entire functions by polynomial ideals,t function can be truncated in order to compute approximations of the coefficients of the power series appearing in the division formula within a given precision. In addition, this method can be applied to the approximation of the value of the remainder function at some point.
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