Self-Orthogonal and Complimentary-Dual Cyclic and Negacyclic Codes of Length 𝟒𝓵 𝒎𝒑 𝒏 over the Finite Field

13 Pages Posted: 17 Jun 2019

Date Written: March 15, 2019

Abstract

In this paper, we assume that 𝔽𝑞 is the finite field of order 𝑞, where 𝑞 is a power of the prime 𝑝, and 𝑝,ℓ are distinct odd primes, and 𝑚,𝑛 are positive integers. We determine generator polynomials of all self-orthogonal and complimentary-dual cyclic and negacyclic codes of length 4ℓ𝑚𝑝𝑛 over the finite field 𝔽𝑞.

Keywords: Cyclic codes, Negacyclic codes, Self-orthogonal codes, Complimentary-dual codes, Cyclotomic cosets

Suggested Citation

Rani, Saroj, Self-Orthogonal and Complimentary-Dual Cyclic and Negacyclic Codes of Length 𝟒𝓵 𝒎𝒑 𝒏 over the Finite Field (March 15, 2019). International Conference on Advances in Engineering Science Management & Technology (ICAESMT) - 2019, Uttaranchal University, Dehradun, India. Available at SSRN: https://ssrn.com/abstract=3403918 or http://dx.doi.org/10.2139/ssrn.3403918

Saroj Rani (Contact Author)

S.A. Jain (PG) College ( email )

Ambala
India

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