Abstract
In this work, a new digital signaturebased on elliptic curvesis presented. We established its efficiency and security. The method, derived from a variant of ElGamal signature scheme, can be seen as a secure alternative protocol if known systemsare completely broken.
Highlights
A lot of practical algorithms for digital signature have been developed since the invention of the public key cryptography in the late 1970’s [1,12,11]
ElGamal [2] proposed a digital signature protocol based on the discrete logarithm problem
In this work we presented a new digital signature
Summary
A lot of practical algorithms for digital signature have been developed since the invention of the public key cryptography in the late 1970’s [1,12,11]. In 1985, Koblitz [8] and Miller [10] proposed independently the use of elliptic curves in cryptography They showed that there exist groups more complex than the traditional multiplicative group (( / )∗ ,.) where is the set of all integers and is a prime number. These structures are useful and practical in public key cryptography. We apply a variant of ElGamal scheme to build a new digital signature based on the elliptic curves.
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