A course in number theory and cryptography
A course in number theory and cryptography
Computer arithmetic systems: algorithms, architecture and implementation
Computer arithmetic systems: algorithms, architecture and implementation
Optimal Extension Fields for Fast Arithmetic in Public-Key Algorithms
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
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It is known that several public key cryptosystems such as RSAs, ElGamals and elliptic curve cryptosystems [1], and also elliptic curve cryptosystems require smaller keys and more efficient operation than RSAs and ElGamals for same security. For example, elliptic curve cryptosystems with 160 bits key have same security as RSAs and ElGamals with 1024 bits key have. We focus elliptic curve cryptosystems and propose an architecture of computation unit for an elliptic curve cryptosystem with small hardware.