A class of constacyclic codes over a finite field-II

Madhu Raka ()
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Madhu Raka: Panjab University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 6, 809-825

Abstract: 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 ℓ n over $$\mathbb{F}_q$$ , where ℓ is an odd prime coprime to p and the order of μ is a power of ℓ. All the repeated-root λ- constacyclic codes of length ℓ 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 ℓ n over $$\mathbb{F}_q$$ when q is odd prime power and give some illustrative examples.

Keywords: Constacyclic codes; negacyclic codes; self-dual codes; self-orthogonal codes; cyclotomic cosets (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13226-015-0158-z

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