Two-weight and three-weight linear codes constructed from Weil sums

IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS
Tonghui Zhang, H. Lu, Shudi Yang
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引用次数: 2

Abstract

Linear codes with few weights are widely used in strongly regular graphs, secret sharing schemes, association schemes and authentication codes. In this paper, we construct several two-weight and three-weight linear codes over finite fields by choosing suitable different defining sets. We also give some examples and some of the codes are optimal or almost optimal. Their applications to secret sharing schemes are also investigated.
由Weil和构造的二权和三权线性码
低权重线性码广泛应用于强正则图、秘密共享方案、关联方案和认证码中。本文通过选择合适的不同定义集,构造了有限域上的几个二权和三权线性码。我们还给出了一些例子,其中一些代码是最优的或几乎最优的。研究了它们在秘密共享方案中的应用。
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
CiteScore
1.50
自引率
0.00%
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