Distribution of some sequences of points on elliptic curves

T. Lange, I.E. Shparlinski

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)
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Abstract

We estimate character sums over points on elliptic curves over a finite field of q elements. Pseudorandom sequences can be constructed by taking linear combinations with small coefficients (for example, from the set {-1, 0, 1}) of a fixed vector of points, which forms the seed of the generator. We consider several particular cases of this general approach which are of special practical interest and have occurred in the literature. For each of them we show that the resulting sequence has good uniformity of distribution properties.
Original languageEnglish
Pages (from-to)1-11
JournalJournal of Mathematical Cryptology
Volume1
Issue number1
DOIs
Publication statusPublished - 2007

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