The minimum distance of a parameterized code over an even cycle

IF 1.2 3区数学 Q1 MATHEMATICS

Finite Fields and Their Applications Pub Date : 2025-04-15 DOI:10.1016/j.ffa.2025.102630

Eduardo Camps-Moreno , Jorge Neves , Eliseo Sarmiento

引用次数: 0

Abstract

Parameterized linear codes over a graph exhibit a very interesting relation between their basic parameters and the combinatorics of the graph. We address the computation of the most elusive of all parameters, the minimum distance. We focus on the case of the parameterized code of order 1 over an even cycle.

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参数化代码在偶数周期上的最小距离

图上的参数化线性编码在其基本参数和图的组合之间表现出一种非常有趣的关系。我们将讨论所有参数中最难以捉摸的参数--最小距离--的计算。我们重点研究偶数循环上阶数为 1 的参数化代码。

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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来源期刊

Finite Fields and Their Applications 数学-数学

CiteScore

2.00

自引率

20.00%

发文量

133

审稿时长

6-12 weeks

期刊介绍： Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering. For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods. The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.