Double character sums over elliptic curves and finite fields | Macquarie University ResearchOnline

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Title: Double character sums over elliptic curves and finite fields
Related: Pure and applied mathematics quarterly, Vol. 2, Issue 1, p.179-197
Publisher: International Press
Date: 2006
Author/Creator: Banks, William D
Author/Creator: Friedlander, John B
Author/Creator: Garaev, Moubariz Z
Author/Creator: Shparlinski, Igor E
Description: We estimate certain double character sums over points of an elliptic curve and in the multiplicative subgroup of a finite field. These bounds both improve and extend the scope of a series of previous results. We apply these results to estimate the related sums over primes, and to derive new uniformity of distribution results for the elliptic curve pseudorandom number power generator. We also mention some further applications, both to cryptography and to smooth number distribution.
Description: 19 page(s)
Subject Keyword: character sums
Subject Keyword: elliptic curves
Subject Keyword: finite fields
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

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