A Class of New Optimal Ternary Cyclic Codes over F<sub>3<sup><i>m</i></sup></sub> with Minimum Distance 4
Wenwei Qiu
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 3 . Given the length and dimension, weshow that it is optimal by proving its minimum distance is equal to 4, according to the Sphere Packing bound.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.