有限环Z4上码字广度的性质及其递归算法
doi: 10.3724/SP.J.1146.2007.00338
The Property of the Width of a Codeword and Its Resursive Algorithms on the Finite Ring Z4
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摘要: 研究码及码字的结构是编码理论的一个重要研究方向。该文定义了环Z4上码字的一种数学特征，即码字的广度。研究了码字广度的一些性质，给出了计算Z4环上码字广度的两种递归算法，并对Z4环上的码字广度与深度之间的关系进行了初步的讨论。
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关键词:
- Z4环;码;码字的广度
Abstract: In coding theory, it is important to study a code and the structure of codewords. In this paper, the width of a codeword on the finite ring Z4 is defined which is a new mathematical character of a codeword. A number of properties on the width of codewords are presented, and two recursive algorithms for computing the width of a codeword on the finite ring Z4 are given. Finally, the relationship between the width and depth of a codeword over the ring Z4 is preliminary discussed. -
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