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Low-complexity multiplexer-based normal basis multiplier over GF(2m)
Authors:Jenn-Shyong HORNG  I-Chang JOU  Chiou-Yng LEE
Abstract:We present a new normal basis multiplication scheme using a multiplexer-based algorithm. In this algorithm, the proposed multiplier processes in parallel and has a multiplexer-based structure that uses MUX and XOR gates instead of AND and XOR gates. We show that our multiplier for type-1 and type-2 normal bases saves about 8% and 16%, respectively, in space complexity as compared to existing normal basis multipliers. Finally, the proposed architecture has regular and modular configurations and is well suited to VLSI implementations.
Keywords:Finite field multiplication  Normal basis  Gaussian normal basis  Elliptic curve cryptosystem
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