A class of constacyclic codes over a finite field-II |
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Authors: | Madhu Raka |
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Institution: | 1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, 160 014, India
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Abstract: | Let \(\mathbb{F}_q\) be a finite field with q = p m elements, where p is any prime and m ≥ 1. In this paper, we explicitly determine all the μ-constacyclic codes of length ? n over \(\mathbb{F}_q\), where ? is an odd prime coprime to p and the order of μ is a power of ?. All the repeated-root λ- constacyclic codes of length ? n p s over \(\mathbb{F}_q\) are also determined for any nonzero λ in \(\mathbb{F}_q\). As examples all the λ-constacyclic codes of length 3 n p s over \(\mathbb{F}_q\) for p = 5, 7, 11, 19 for n ≥ 1, s ≥ 1 are derived. We also obtain all the self-orthogonal negacyclic codes of length ? n over \(\mathbb{F}_q\) when q is odd prime power and give some illustrative examples. |
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