计算线性码伪码字的zeta函数

2008 International Symposium on Information Theory and Its Applications Pub Date : 2008-12-01 DOI:10.1109/ISITA.2008.4895507

S. Matsuda, S. Saito, T. Hiramatsu

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摘要

本文描述了如何计算一般二进制线性码的未标度伪码字的zeta函数。这个zeta函数在[2]中被引入到循环码中，在[3]中被扩展到一般线性码中。特别地，我们证明了码的zeta函数是通过使用1/2大小的行列式来计算的，而非循环码的zeta函数是用[3]的行列式来计算的。

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Computation of zeta functions counting pseudo-codewords of linear codes

It is described in this document how to compute zeta functions counting unscaled pseudo-codewords of general binary linear codes. This zeta functions are introduced in [2] for cycle codes and extended in [3] for general linear codes. Especially, we show that the zeta functions of codes are computed by using a 1/2 size determinants compared to those of [3] for non-cycle codes.

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2008 International Symposium on Information Theory and Its Applications

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