Global Journal of Pure and Applied Mathematics

  • Year: 2006
  • Volume: 2
  • Issue: 1

Affine Invariant Codes Over ℤ4 With Linear Gray Image

  • Author:
  • Cheikh Thiecoumba Gueye
  • Total Page Count: 12
  • DOI:
  • Page Number: 61 to 72

Departement de Mathématiques et Informatique Faculté des Sciences et Techniques Université Cheikh Anta Diop Dakar, Sénégal. E-mail: cgueye@ucad.sn

AMS Subject Classification:

Abstract

We determine all linear affine invariant codes over ℤ44 of odd length whose Gray images are linear codes (or equivalently, whose Nechaev-Gray image are linear affine invariant codes) or are linear affine invariant codes.

Keywords

Gray map, nega affine invariant and affine invariant codes over ℤ4 and 2, Nechaev permutation