Author : Jasbir Kaur 1
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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