Additive codes with few weights

Panario D., ŞAHİN M., Wang Q.

Cryptography and Communications, cilt.16, sa.5, ss.1077-1102, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 5
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s12095-024-00720-3
  • Dergi Adı: Cryptography and Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, zbMATH
  • Sayfa Sayıları: ss.1077-1102
  • Anahtar Kelimeler: 11T71, 94B05, Additive codes, Fq-linear codes, Weight distribution, Weil-like sums
  • Ankara Üniversitesi Adresli: Evet

Özet

Additive codes have a wide range of applications. A classical nice and generic way to construct linear codes is via trace functions. In this paper, first, we generalize this method to construct additive codes. Then, we use this method to get some explicit additive codes. Computing Weil-like sums, we obtain parameters of these codes such as the length and weight distribution. We show that our codes have few weights.