TY - JOUR
T1 - Distribution of some sequences of points on elliptic curves
AU - Lange, Tanja
AU - Shparlinski, Igor E.
PY - 2007/1
Y1 - 2007/1
N2 - We estimate character sums over points on elliptic curves over a finite field F q 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.
AB - We estimate character sums over points on elliptic curves over a finite field F q 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.
UR - http://www.scopus.com/inward/record.url?scp=38149054261&partnerID=8YFLogxK
U2 - 10.1515/JMC.2007.001
DO - 10.1515/JMC.2007.001
M3 - Article
AN - SCOPUS:38149054261
SN - 1862-2976
VL - 1
SP - 1
EP - 11
JO - Journal of Mathematical Cryptology
JF - Journal of Mathematical Cryptology
IS - 1
ER -