Shadow codes over ℤ4

Steven T. Dougherty, Masaaki Harada, Patrick Solé

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

The notion of a shadow of a self-dual binary code is generalized to self-dual codes over ℤ4. A Gleason formula for the symmetrized weight enumerator of the shadow of a Type I code is derived. Congruence properties of the weights follow; this yields constructions of self-dual codes of larger lengths. Weight enumerators and the highest minimum Lee, Hamming, and Euclidean weights of Type I codes of length up to 24 are studied.

Original languageEnglish
Pages (from-to)507-529
Number of pages23
JournalFinite Fields and their Applications
Volume7
Issue number4
DOIs
Publication statusPublished - 2001
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

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