SELF-DUAL CODES WITH LARGER LENGTHS OVER Z25

نوع مقاله : اصیل

نویسندگان

Malayer University

چکیده

In this study, new definitions of the Gray weight and the Gray map for linear codes over R = Z_25 +uZ_25; where u^2 = u is defined. Some results on self-dual codes over this ring are investigated. Further, the structural properties of quadratic residue codes are also considered. Also two self-dual codes with parameters [22; 11; 6]; [24; 12; 8]; over Z_25 are obtained

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

SELF-DUAL CODES WITH LARGER LENGTHS OVER Z_25

نویسندگان [English]

  • Mohammad Reza Alimoradi
  • Bahram Ahmadi
Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer universiity, Malayer, Iran.
چکیده [English]

In this study, new definitions of the Gray weight and the Gray map for linear codes over R = Z_25 +uZ_25; where u^2 = u is defined. Some results on self-dual codes over this ring are investigated. Further, the structural properties of quadratic residue codes are also considered. Also two self-dual codes with parameters [22; 11; 6]; [24; 12; 8]; over Z_25 are obtained

کلیدواژه‌ها [English]

  • Gray weight
  • Self-dual codes
  • Quadratic residue codes