Title: Some cyclic codes of prime-power length

Authors: Sudhir Batra; S.K. Arora

Addresses: Department of Mathematics, T.I.T. & S., Birla Colony, Bhiwani 127021, India ' Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, India

Abstract: A new class of cyclic codes of length 2ⁿ over GF(q) is proposed, where q is a prime of the form 8m ± 3 and n > 3 is an integer. These codes are defined in terms of their generator polynomials. These codes have many properties analogous to those of duadic codes. Generator polynomials of some duadic codes of length pⁿ over GF(q) are also discussed, where p is an odd prime, n is an integer and q = ρ or ρ² for some prime ρ.

Keywords: cyclic codes; generator polynomials; duadic codes; qr codes; prime power length.

DOI: 10.1504/IJICOT.2011.044675

International Journal of Information and Coding Theory, 2011 Vol.2 No.1, pp.1 - 9

Received: 11 Jun 2009
Accepted: 11 Jun 2010
Published online: 29 Apr 2015 *

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