Reza Rezaeian Farashahi

most citedPseudorandom Bits From Points on Elliptic Curves

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math.NT2010

On Pseudopoints of Algebraic Curves

Reza R. Farashahi, Igor E. Shparlinski

Following Kraitchik and Lehmer, we say that a positive integer $n \equiv 1 (mod 8)$ is an $x$ -pseudosquare if it is a quadratic residue for each odd prime $p \leq x$ , yet is not a squar…

math.NT2010★ 1 cited

Pseudorandom Bits From Points on Elliptic Curves

Reza R. Farashahi, Igor E. Shparlinski

Let $\E$ be an elliptic curve over a finite field $\F_{q}$ of $q$ elements, with $g cd (q, 6) = 1$ , given by an affine Weierstraß equation. We also use $x (P)$ to denote the $x$ -compone…

math.NT2010

On group structures realized by elliptic curves over a fixed finite field

Reza Rezaeian Farashahi, Igor E. Shparlinski

We obtain explicit formulas for the number of non-isomorphic elliptic curves with a given group structure (considered as an abstract abelian group). Moreover, we give explicit form…