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arXiv · 2105.09547

Constacyclic Codes over Commutative Finite Principal Ideal Rings

Yun Fan
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Abstract

For any constacyclic code over a finite commutative chain ring of length coprime to the characteristic of the ring, we construct explicitly generator polynomials and check polynomials, and exhibit a BCH bound for such constacyclic codes. As a consequence, such constacyclic codes are principal. Further, we get a necessary and sufficient condition that the cyclic codes over a finite commutative principal ideal ring are all principal. This condition is still sufficient for constacyclic codes over such rings being principal.

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Yun Fan. 2021-05-20. Constacyclic Codes over Commutative Finite Principal Ideal Rings. https://arxiv.org/abs/2105.09547

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