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Elliptic Curves Suitable for Cryptosystems

Atsuko Miyaji

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Abstract

Abstract Koblitz ([5]) and Miller ([6]) proposed a method by which the group of points on an elliptic curve over a finite field can be used for the public key cryptosystems instead of a finite field. To realize signature or identification schemes by a smart card, we need less data size stored in a smart card and less computation amount by it. In this paper, we show how to construct such elliptic curves while keeping security high. 1

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Abstract Koblitz ([5]) and Miller ([6]) proposed a method by which the group of points on an elliptic curve over a finite field can be used for the public key cryptosystems instead of a finite field. To realize signature or identification schemes by a smart card, we need less data size stored in a smart card and less computation amount by it. In this paper, we show how to construct such elliptic curves while keeping security high. 1

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Available abstract

Abstract Koblitz ([5]) and Miller ([6]) proposed a method by which the group of points on an elliptic curve over a finite field can be used for the public key cryptosystems instead of a finite field. To realize signature or identification schemes by a smart card, we need less data size stored in a smart card and less computation amount by it. In this paper, we show how to construct such elliptic curves while keeping security high. 1

Key concepts: Elliptic curve, Cryptosystem, Mathematics, Computer science, Cryptography, Pure mathematics, Computer security

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