The Hessian form of an elliptic curve

NP Smart

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

89 Citations (Scopus)


In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU's, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent.
Translated title of the contributionThe Hessian form of an elliptic curve
Original languageEnglish
Title of host publicationCryptographic Hardware and Embedded Systems - CHES 2001
EditorsKoc , Naccache , Paar
PublisherSpringer Berlin Heidelberg
Pages118 - 125
Number of pages7
Publication statusPublished - May 2001

Bibliographical note

Conference Proceedings/Title of Journal: CHES 2001


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