Pseudorandom points on elliptic curves over finite fields

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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
Number of pages19
ISBN (Print)9789812793423
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


ConferenceSymposium on Algebraic Geometry and its Applications (1st : 2007)
CityPapeete, France


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