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Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/221564
Description: At Crypto 2010, Brier et al. proposed the first construction of a hash function into ordinary elliptic curves that was indifferentiable from a random oracle, based on Icart's deterministic encoding fr... More
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Date: 2010
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.14/148080
Description: This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite field $mathbb{F}_q$, it is shown ... More
Reviewed:Reviewed
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/118366
Description: Following Kraitchik and Lehmer, we say that a positive integer n ≡ 1 (mod 8) is an x-pseudosquare if it is a quadratic residue for each odd prime p ≤ x, yet it is not a square. We extend this definiti... More
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Date: 2009
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.14/145345
Description: We study the hash function from a finite field Fq into an elliptic curve over Fq which has recently been introduced by T. Icart. In particular we slightly adjust and prove the asymptotic formula conje... More
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