A mass formula for 4 cyclic codes of length 2e Conference Paper uri icon

abstract

  • Cyclic codes of length n = 2e over the ring R4 = Z4[x]/(xn - 1) are studied. A linear code C of length n over Z4 is considered to be an additive submodule of the Z 4-module Zn4. A cyclic code of length n over Z4 is considered as an ideal in the ring R4 = Z 4[x]/xn - 1. It is observed that the Hamming weight of a vector a Zn4 is the number of non-zero components in the vector.

published proceedings

  • IEEE International Symposium on Information Theory - Proceedings

author list (cited authors)

  • Abualrub, T., Ghrayeb, A., & Oehmke, R. H.

complete list of authors

  • Abualrub, T||Ghrayeb, A||Oehmke, RH

publication date

  • October 2004