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SIMPLE-ROOT NEGACYCLIC CODES OF LENGTH 2pnℓm OVER A FINITE FIELD

Anuradha Sharma
대한수학회 (The Korean Mathematical Society)|2015.09|대한수학회지 (Journal of the KMS)|제52권 제5호|pp. 965-989

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참고문헌

키워드

constacyclic codescyclotomic cosetsdual code
주제분류수학

초록

Let p, ℓ be distinct odd primes, q be an odd prime power with gcd(q, p) = gcd(q, ℓ) = 1, and m, n be positive integers. In this paper, we determine all self-dual, self-orthogonal and complementary- dual negacyclic codes of length 2pnℓm over the finite field Fq with q elements. We also illustrate our results with some examples.

Abstract

Let p, ℓ be distinct odd primes, q be an odd prime power with gcd(q, p) = gcd(q, ℓ) = 1, and m, n be positive integers. In this paper, we determine all self-dual, self-orthogonal and complementary- dual negacyclic codes of length 2pnℓm over the finite field Fq with q elements. We also illustrate our results with some examples.

참고문헌 (23)

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