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On the Uniformity of Distribution of the Elliptic Curve ElGamal Signature

✍ Scribed by Edwin El Mahassni; Igor Shparlinski

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
113 KB
Volume
8
Category
Article
ISSN
1071-5797

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✦ Synopsis

We show that, under some natural conditions, the pairs ðr; sÞ produced by the elliptic curve ElGamal signature scheme are uniformly distributed. In particular, this implies that values of r and s are not correlated. The result is based on some new estimates of exponential sums. For the ElGamal signature over a finite field, a similar result has been obtained by the second author.

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