Pseudorandom points on elliptic curves over finite fields

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

Abstract

We give a brief survey of several recently suggested constructions of generating sequences of pseudorandom points on elliptic curves. Such constructions are of interest for both classical and elliptic curve cryptography and are also of intrinsic mathematical interest. We present an account of various results obtained for such sequences and outline several open questions (of different level of difficulty) and directions for further research.
Original languageEnglish
Title of host publicationAlgebraic geometry and its applications
Subtitle of host publicationdedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France, 7-11 May 2007
EditorsJean Chaumine, James Hirschfield, Robert Rolland
Place of PublicationSingapore
PublisherWorld Scientific Publishing
Pages116-134
Number of pages19
ISBN (Print)9789812793423
DOIs
Publication statusPublished - 2008
EventSymposium on Algebraic Geometry and its Applications (1st : 2007) - Papeete, France
Duration: 7 May 200711 May 2007

Publication series

NameSeries on number theory and its applications
PublisherWorld Scientific Publishing

Conference

ConferenceSymposium on Algebraic Geometry and its Applications (1st : 2007)
CityPapeete, France
Period7/05/0711/05/07

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