Jinmei Fan

Optimal quinary cyclic codes with minimum distance four

2017 · arXiv (Cornell University)

In this paper, by analyzing solutions of certain equations in the finite field $\mathbb{F}_{5^m}$, three classes of new optimal quinary cyclic codes with parameters $[5^m-1,5^m-2m-2,4]$ and two theorems are presented. With the help of the …