Systematic authentication codes using additive polynomials

ÖZBUDAK F., Saygi Z.

DESIGNS CODES AND CRYPTOGRAPHY, cilt.49, ss.61-77, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1007/s10623-008-9176-8
  • Dergi Adı: DESIGNS CODES AND CRYPTOGRAPHY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.61-77
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Using additive polynomials related to some curves over finite fields, we construct two families of systematic authentication codes. We use tight bounds for the number of rational points of these curves in estimating the probabilities of the systematic authentication codes. We compare their parameters with some existing codes in the literature. We observe that the parameters are better than the existing ones in some cases.