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arXiv · 1407.1905

Polyadic Constacyclic Codes

Bocong Chen·Hai Q. Dinh·Yun Fan·San Ling
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Abstract

For any given positive integer $m$, a necessary and sufficient condition for the existence of Type I $m$-adic constacyclic codes is given. Further, for any given integer $s$, a necessary and sufficient condition for $s$ to be a multiplier of a Type I polyadic constacyclic code is given. As an application, some optimal codes from Type I polyadic constacyclic codes, including generalized Reed-Solomon codes and alternant MDS codes, are constructed.

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Bocong Chen, Hai Q. Dinh, Yun Fan, San Ling. 2014-07-07. Polyadic Constacyclic Codes. https://arxiv.org/abs/1407.1905

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