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A metric on the set of elliptic curves over

✍ Scribed by Pradeep Kumar Mishra; Kishan Chand Gupta

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 211 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.02.011

No coin nor oath required. For personal study only.

✦ Synopsis

Elliptic curves over finite fields have found applications in many areas including cryptography. In the current work we define a metric on the set of elliptic curves defined over a prime field F p , p > 3. Computing this metric requires us to solve an instance of a discrete log problem in F * p . This idea may have a possible application in devising some cryptographic primitives.

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