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Date: 2017
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197725
Description: 20 page(s)
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197764
Description: For an elliptic curve E/Q without complex multiplication we study the distribution of Atkin and Elkies primes ℓ, on average, over all good reductions of E modulo primes p. We show that, under the gene ... More
Reviewed: Reviewed
Date: 2014
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/1197832
Description: 13 page(s)
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/217822
Description: This paper presents new explicit formulae for the point doubling, tripling and addition for ordinary Weierstraß elliptic curves with a point of order 3 and their equivalent Hessian curves over finite ... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/178617
Description: Edwards curves are an alternate model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of Fq-isomorphism classes of Edwards curves and twisted Ed ... More
Reviewed: Reviewed
Date: 2011
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146987
Description: 16 page(s)
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/146721
Description: We propose a simple and efficient deterministic extractor for an ordinary elliptic curve E, defined over F₂n , where n = 2ℓ and ℓ is a positive integer. Our extractor, for a given point P on E, output ... More
Reviewed: Reviewed
Date: 2007
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/346769
Description: We propose a simple and efficient deterministic extractor for the (hyper)elliptic curve C, defined over Fq², where q is some power of an odd prime. Our extractor, for a given point P on C, outputs the ... More
Reviewed: Reviewed
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