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The Hessian form of an elliptic curve

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Original languageEnglish
Title of host publicationCryptographic Hardware and Embedded Systems - CHES 2001
EditorsKoc , Naccache , Paar
Publisher or commissioning bodySpringer Berlin Heidelberg
Pages118 - 125
Number of pages7
DatePublished - May 2001


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.

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Conference Proceedings/Title of Journal: CHES 2001

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