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International Journal of Electronics 7, 95 (2008) 669-685
ensl-00148210, version 1
Informatique/Autre
Horner's Rule-Based Multiplication over Fp and Fp^n: A Survey
Jean-Michel Muller1, Jean-Luc Beuchat2, Takanori Miyoshi2, Eiji Okamoto2
1 :  LIP - Laboratoire de l'Informatique du Parallélisme
2 :  Laboratory of Cryptography and Information Security
[ARENAIRE - Arithmétique des ordinateurs]
This paper aims at surveying multipliers based on Horner's rule for finite field arithmetic. We present a generic architecture based on five processing elements and introduce a classification of several algorithms based on our model. We provide the readers with a detailed description of each scheme which should allow them to write a VHDL description or a VHDL code generator.
Anglais
Modular multiplication – Horner's rule – carry-save – high-radix carry-save – borrow-save – finite field – FPGA
ACM B.2.0, E.3
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