A mass formula for ℤ4 cyclic codes of length 2e

Taher Abualrub, Ali Ghrayeb, Robert H. Oehmke

Research output: Contribution to journalArticle

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 Zn 4. 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 ∈ Zn 4 is the number of non-zero components in the vector.

Original languageEnglish
Pages (from-to)488
Number of pages1
JournalIEEE International Symposium on Information Theory - Proceedings
Publication statusPublished - 2004
Externally publishedYes

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Cyclic Codes
Ring
Hamming Weight
Linear Codes
Module

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

A mass formula for ℤ4 cyclic codes of length 2e . / Abualrub, Taher; Ghrayeb, Ali; Oehmke, Robert H.

In: IEEE International Symposium on Information Theory - Proceedings, 2004, p. 488.

Research output: Contribution to journalArticle

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