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arXiv · 1302.0569

A Class of Three-Weight Cyclic Codes

Zhengchun Zhou·Cunsheng Ding
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Abstract

Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, a class of three-weight cyclic codes over $\gf(p)$ whose duals have two zeros is presented, where $p$ is an odd prime. The weight distribution of this class of cyclic codes is settled. Some of the cyclic codes are optimal. The duals of a subclass of the cyclic codes are also studied and proved to be optimal.

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Zhengchun Zhou, Cunsheng Ding. 2013-02-04. A Class of Three-Weight Cyclic Codes. https://arxiv.org/abs/1302.0569

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