Cryptology ePrint Archive: Report 2012/414
Low complexity bit-parallel $GF(2^m)$ multiplier for all-one polynomials
Yin Li and Gong-liang Chen and Xiao-ning Xie
Abstract: This paper presents a new bit-parallel multiplier for the finite
field $GF(2^m)$ generated with an irreducible all-one polynomial.
Redundant representation is used to reduce the time delay of the
proposed multiplier, while a three-term Karatsuba-like formula is
combined with this representation to decrease the space complexity.
As a result, the proposed multiplier requires about 10 percent fewer
AND/XOR gates than the most efficient bit-parallel multipliers using
an all-one polynomial, while it has almost the same time delay as
the previously proposed ones.
Category / Keywords: implementation / foundations
Date: received 24 Jul 2012
Contact author: yunfeiyangli at gmail com
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Version: 20120801:035849 (All versions of this report)
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