Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
Error-control coding for computer systems
Error-control coding for computer systems
New Systolic Arrays for C + AB2, Inversion, and Division in GF(2m)
IEEE Transactions on Computers
Elliptic Curve Public Key Cryptosystems
Elliptic Curve Public Key Cryptosystems
Systolic architectures for inversion/division using AB2 circuits in GF(2m)
Integration, the VLSI Journal
Theory of Self-Reproducing Automata
Theory of Self-Reproducing Automata
Network security: private communication in a public world, second edition
Network security: private communication in a public world, second edition
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Elliptic Curve Cryptosystems (ECC) are in the spotlight due to their significantly smaller parameters. The most costly arithmetic operation in ECC is division, which is performed by multiplying the inverse of a multiplicand. On the other hand, Cellular Automata (CA) have attracted a lot of attention regarding their potential for various applications. Thus, this paper presents an EC-based hardware architectural model for division based on CA over Galois Field GF(2n). The proposed architectural model is highly regular, expandable, and it has reduced latency based on periodic boundary CA. The proposed architecture can be easily implemented into the hardware design of crypto-coprocessors.