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

Date

2013-09-01

Author

AKLEYLEK, SEDAT
Cenk, Murat
Özbudak, Ferruh

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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.

Subject Keywords

XOR gates, AND gates, Elliptic curve parameters, Pairing-based cryptography, Elliptic curve crytographic applications, Positive integer, Prime number, Simplified precomputational phase, Faster interleaved Montgomery modular multiplication algorithm, Moduli generalisation, Public key cryptography, Multiplying circuits, Logic gates

URI

https://hdl.handle.net/11511/30844

Journal

IET INFORMATION SECURITY

DOI

https://doi.org/10.1049/iet-ifs.2010.0271

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

S. AKLEYLEK, M. Cenk, and F. Özbudak, “On the generalisation of special moduli for faster interleaved montgomery modular multiplication,” IET INFORMATION SECURITY, pp. 165–171, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30844.