Article citationsMore>>

Ding, C.S. and Helleseth, T. (2013) Optimal Ternary Cyclic Codes from Monomials. IEEE Transactions on Information Theory, 59, 5898-5904.
https://doi.org/10.1109/TIT.2013.2260795

has been cited by the following article:

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

  AUTHORS: Wenwei Qiu

  KEYWORDS: sphere packing bound, minimal distance, Cyclic code

  JOURNAL NAME: Applied Mathematics, Vol.14 No.11, November 28, 2023

  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.