A New Digital Signature Scheme over Non-Commutative Integral Group Rings

Hanoymak T.

International Journal of Mathematics and Computer Science, cilt.20, sa.4, ss.1079-1087, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 4
  • Basım Tarihi: 2025
  • Doi Numarası: 10.69793/ijmcs/04.2025/turgut
  • Dergi Adı: International Journal of Mathematics and Computer Science
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1079-1087
  • Anahtar Kelimeler: Conjugacy search problem, digital signature, group ring, non-commutative
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we propose a new digital signature scheme constructed over integral group rings, relying on the hardness of the Conjugacy Search Problem (CSP) and incorporating a cryptographic hash function to map arbitrary messages into the integral group ring. The construction is described in detail and supported by a concrete example. A brief security analysis is also provided, showing resistance to several potential attack scenarios.