On the generators of Z4 cyclic codes of length 2e

  • Authors:
  • T. Abualrub;R. Oehmke

  • Affiliations:
  • Dept. of Math., American Univ. of Sharjah, United Arab Emirates;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Results are presented on the generators of ideals in the ring Z4[x]/(xn-1). In particular, each ideal (cyclic code) has a unique distinguished set of generators that characterizes any cyclic code. Some results about dual codes are also included.