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arXiv · 1302.0952

A Family of Five-Weight Cyclic Codes and Their Weight Enumerators

Zhengchun Zhou·Cunsheng Ding·Jinquan Luo·Aixian Zhang
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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 family of $p$-ary cyclic codes whose duals have three zeros are proposed. The weight distribution of this family of cyclic codes is determined. It turns out that the proposed cyclic codes have five nonzero weights.

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Zhengchun Zhou, Cunsheng Ding, Jinquan Luo, Aixian Zhang. 2013-02-05. A Family of Five-Weight Cyclic Codes and Their Weight Enumerators. https://arxiv.org/abs/1302.0952

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