On the covering radii of a class of binary primitive cyclic codes

被引：0

作者：

Tutdere, Seher ^{[1
]}

机构：

[1] Balikesir Univ, Fac Sci & Letters, Dept Math, Balikesir, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2022年 / 51卷 / 01期

关键词：

cyclic code; covering radius; finite field; polynomial equations;

D O I：

10.15672/hujms.881649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2019, Kavut and Tutdere proved that the covering radii of a class of primitive binary cyclic codes with minimum distance greater than or equal to r + 2 is r, where r is an odd integer, under some assumptions. We here show that the covering radii R of a class of primitive binary cyclic codes with minimum distance strictly greater than l satisfy r < R < l, where l, r are some integers, with l being odd, depending on the given code. This new class of cyclic codes covers that of Kavut and Tutdere.

引用

页码：20 / 26

页数：7

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