A Class of New Optimal Ternary Cyclic Codes over F3m with Minimum Distance 4

Qiu, Wenwei (2023) A Class of New Optimal Ternary Cyclic Codes over F3m with Minimum Distance 4. Applied Mathematics, 14 (11). pp. 764-772. ISSN 2152-7385

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Abstract

As a branch of applied mathematics, coding theory plays an important role. Among them, cyclic codes have attracted much attention because of their good algebraic structure and easy analysis performance. In this paper, we will study one class of cyclic codes over F3. Given the length and dimension, we show that it is optimal by proving its minimum distance is equal to 4, according to the Sphere Packing bound.

Item Type: Article
Subjects: Asian STM > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 20 Dec 2023 08:33
Last Modified: 20 Dec 2023 08:33
URI: http://journal.send2sub.com/id/eprint/3018

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