Trace description of q-ary linear codes

Proceedings of 1994 IEEE International Symposium on Information Theory Pub Date : 1994-06-27 DOI:10.1109/ISIT.1994.394926

Jean-Pierre Zanotti

引用次数: 1

Abstract

J. Wolfmann (see A.A.E.C.C., vol.2, p.119, 1991) gives a description of projective binary linear codes by means of a polynomial. The purpose of our work is first to generalize such a description to q-ary codes. Then the main difficulty is to evaluate the weights of these codes and it is not possible to follow the same method as in the binary case. We consider Artin-Schreier curves and we give a bound on weights. Some normalization are also investigated.<>

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q元线性码的跟踪描述

J. Wolfmann(参见A.A.E.C.C, vol.2, p.119, 1991)给出了用多项式描述射影二进制线性码的方法。我们工作的目的首先是将这种描述推广到q码。然后，主要的困难是评估这些代码的权重，并且不可能遵循与二进制情况相同的方法。我们考虑Artin-Schreier曲线并给出权值的界。还研究了一些归一化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Proceedings of 1994 IEEE International Symposium on Information Theory

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