# Optimal p-ary cyclic codes with two zeros

## TL;DR

This paper presents a general construction method for optimal p-ary cyclic codes with two zeros, providing explicit constructions and introducing a new class of such codes to enhance coding efficiency.

## Contribution

The paper introduces a novel general construction framework for optimal p-ary cyclic codes with two zeros and presents three explicit constructions along with a new class of codes.

## Key findings

- Explicit constructions of optimal p-ary cyclic codes with two zeros
- Introduction of a new class of optimal p-ary cyclic codes
- Enhanced methods for constructing efficient cyclic codes

## Abstract

As a subclass of linear codes, cyclic codes have efficient encoding and decoding algorithms, so they are widely used in many areas such as consumer electronics, data storage systems and communication systems. In this paper, we give a general construction of optimal p-ary cyclic codes which leads to three explicit constructions. In addition, another class of p-ary optimal cyclic codes are presented.