I.S.Luthar, I.B.S.Passi. Algebra volume 2 Rings, Narosa Publishing House, first edition,2002.

has been cited by the following article:

• TITLE: Cyclic codes of length 2k over Z8

  AUTHORS: Arpana Garg, Sucheta Dutt

  KEYWORDS: Codes; Cyclic Codes; Ideal; Principal Ideal Ring

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.4B, January 15, 2013

  ABSTRACT: We study the structure of cyclic codes of length 2kover Z8for any natural number k. It is known that cyclic codes of length 2kover Z8are ideals of the ring R=Z8[X]/. In this paper we prove that the ring R=Z8[X]/ is a local ring with unique maximal ideal, thereby implying that R is not a principal ideal ring. We also prove that cyclic codes of length2kover Z8are generated as ideals by at most three elements.