Volume no :15, Issue no: 1, March (2016)

CONSTACYCLIC CODES OF LENGTH OVER A FINITE FIELD

Author's: Amita Sahni and Poonam Trama Sehgal
Pages: [41] - [64]
Received Date: July 13, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100121523

Abstract

Let be a finite field with elements, where is an odd prime power. We explicitly determine the codes of length over and their duals in terms of the generator polynomials, where are distinct odd primes coprime to All the repeated root constacyclic codes of length over and their duals are also characterized in terms of the generator polynomials. The number of such codes have also been found.

Keywords

constacyclic codes, generator polynomials, dual codes, cyclotomic cosets.