On the generalisation of special moduli for faster interleaved montgomery modular multiplication

AKLEYLEK S., CENK M., ÖZBUDAK F.

IET INFORMATION SECURITY, cilt.7, sa.3, ss.165-171, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1049/iet-ifs.2010.0271
  • Dergi Adı: IET INFORMATION SECURITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.165-171
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this study, the authors give a generalisation of special moduli for faster interleaved Montgomery modular multiplication algorithm with simplified pre-computational phase for GF(p(n)), where p 2 is a prime number and n is a positive integer. The authors propose different sets of moduli that can be used in elliptic curve crytographic applications and pairing-based cryptography. Moreover, this method also leads to efficient implementations for the elliptic curve parameters given in standards. It is shown that one can obtain efficient Montgomery modular multiplication architecture in view of the number of AND gates and XOR gates by choosing proposed sets of moduli. The authors eliminate final substraction step with proposed sets of moduli. These methods are easy to implement for hardware.