Montgomery multiplication over rings

DOI10.1016/J.JFRANKLIN.2008.06.002zbMath1298.68037OpenAlexW2016424687MaRDI QIDQ468150

Joseph P. Brennan, Rajendra Katti

Publication date: 6 November 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2008.06.002

zbMATH Keywords

finite fieldsarithmeticmultiplierfinite ringsMontgomery multiplication

Mathematics Subject Classification ID

Cryptography (94A60) Mathematical problems of computer architecture (68M07) Arithmetic theory of polynomial rings over finite fields (11T55)

Uses Software

• Mathematica

Cites Work

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• Montgomery multiplication in \(\text{GF}(2^ k)\)
• Parallel multipliers based on special irreducible pentanomials
• Montgomery multiplier and squarer for a class of finite fields

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