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math.NT2014
Counting Additive Decompositions of Quadratic Residues in Finite Fields
Simon R. Blackburn, Sergei V. Konyagin, Igor E. Shparlinski
We say that a set is additively decomposed into two sets and if . A. Sárközy has recently conjectured that the set of quadratic res…
math.NT2011★ 2 cited
On the Distribution of the Subset Sum Pseudorandom Number Generator on Elliptic Curves
Simon R. Blackburn, Alina Ostafe, Igor E. Shparlinski
Given a prime , an elliptic curve $\E/\F_p$ over the finite field $\F_p$ of elements and a binary \lrs\ $\(u(n)\)_{n =1}^\infty$ of order~, we study the distribution of t…