Xiwang Cao

Four Classes of Optimal Quinary Cyclic Codes

2020 · IEEE Communications Letters

The construction of optimal ternary cyclic codes has received a lot of attention and much progress has been made. However, little is known about optimal quinary cyclic codes. In this letter, four classes of infinite …

The Sufficient and Necessary Conditions for the Minimum Distance of the BCH Code <i>C</i>(q,q+1,3,h) to Be 3 and 4

2025 · IEEE Transactions on Information Theory

In this paper, the sufficient and necessary conditions for the minimum distance of the BCH code$\mathcal {C}_{(q,q+1,3,h)}$to be 3 and 4 are provided, respectively. Let d be the minimum distance of the BCH code$\mathcal {C}_{(q,q+1,3,h)}$. …