Completing the determination of the next -to -minimal weights of affine cartesian codes

被引：1

作者：

Carvalho, Cicero ^{[1
]}

Neumann, Victor G. L. ^{[1
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, Av JN Avila 2121, BR-38408902 Uberlandia, MG, Brazil

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2021年 / 69卷

关键词：

Affine cartesian codes; Next-to-minimal weights; Higher Hamming weights; Reed-Muller type codes; REED-MULLER CODES;

D O I：

10.1016/j.ffa.2020.101775

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a previous paper (see [3]) we determined the values of the next-to-minimal Hamming weights of affine cartesian codes of order d, for almost all values of d. In the present paper we determine the next-to-minimal weights for the missing values of d, assuming that the sets in the cartesian product which appears in the definition of the code are subfields of Fq. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：13

共 37 条

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