Open Access Journal

ISSN : 2394-2320 (Online)

International Journal of Engineering Research in Computer Science and Engineering (IJERCSE)

Monthly Journal for Computer Science and Engineering

Open Access Journal

International Journal of Engineering Research in Computer Science and Engineering (IJERCSE)

Monthly Journal for Computer Science and Engineering

ISSN : 2394-2320 (Online)

Some Results on Cyclic Codes over the ring of integers modulo 8

Author : Jasbir Kaur 1 Ranjeet Sehmi 2 Sucheta Dutt 3

Date of Publication :12th September 2017

Abstract: Let be a Galois ring of characteristic and cardinality . Let be a cyclic code of arbitrary length over , viewed as ideals of , - The generators of in terms of minimal degree polynomials of certain subsets of have been obtained by Kaur et al. [6]. In this paper, using the structure of cyclic codes over a Galois ring given in [6], the generators of cyclic code of arbitrary length over , the ring of integers modulo 8 have been obtained in a unique form. Further, using the p-adic representation for the coefficients of these generators of cyclic codes over some results involving the generators have been proved. Cyclic codes over modular rings have applications in code- division multiple access (CDMA) cellular radio communication systems and M-PSK (M-ary Phase Shift Keying) channel.

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