Finite field for scientists and engineers
Finite field for scientists and engineers
Structure of parallel multipliers for a class of fields GF(2m)
Information and Computation
IEEE Transactions on Computers
Area Efficient Exponentiation Using Modular Multiplier/Squarer in GF(2m
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
A public key cryptosystem and a signature scheme based on discrete logarithms
IEEE Transactions on Information Theory
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This paper presents bit-serial arithmetic architectures for GF(2m) based on an irreducible all one polynomial. First, modular multiplier and squarer are designed. Then, two arithmetic architectures are proposed based on the modular multiplier and squarer. Proposed architectures hybrid the advantages of hardware and time complexity from previous architectures. They can be used as kernel architecture for modular exponentiations, which is very important operation in the most of public key cryptosystem. Since the multipliers have low hardware requirements and regular structures, they are suitable for VLSI implementation.