Finite field for scientists and engineers
Finite field for scientists and engineers
Fast Arithmetic for Public-Key Algorithms in Galois Fields with Composite Exponents
IEEE Transactions on Computers
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
Systolic Multipliers for Finite Fields GF(2m)
IEEE Transactions on Computers
Time-space efficient exponentiation over GF(2m)
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartI
Fast exponentiaion over GF(2m) based on cellular automata
ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII
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Modular exponentiation in a finite field is the basic computation involved in most public key crypto systems, such as Diffie-Hellman key exchange, ElGamal, etc. The current paper presents a new parallel architecture whereby the modular multiplication and squaring can be processed simultaneously in GF(2m) in m clock cycles using a cellular automata. Since the proposed cellular automata architecture is simple, regular, modular, cascadable, it can also be utilized efficiently for the implementation of VLSI.