Constacyclic Codes of Arbitrary Length over Fq+uFq+⋯+ue−1Fq

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran

2 Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71467-13565, Iran.

Abstract

In this article, we shall study the structure of (a+bu)−constacyclic codes of arbitrary length over the ring
R=Fq+uFq+⋯+ue−1Fq, where ue=0, q is a power of a prime number p and a,b are non-zero elements of Fq. Also we shall find a minimal spanning set for these codes.  %, and completely determine the structure of these codes. For a constacyclic code C we shall determine its minimum Hamming distance with some properties of Tor(C) as an a−constacyclic code over Fq.

Keywords

References

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Algebraic Structures and Their Applications
Volume 6, Issue 1
March 2019
Pages 65-82

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