Statistics about elliptic curves over finite prime fields

DOI10.1007/s00229-008-0192-9zbMath1156.11024OpenAlexW2050260552MaRDI QIDQ2518879

Ernst-Ulrich Gekeler

Publication date: 20 January 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0192-9

zbMATH Keywords

algorithms in cryptographyprobabilities of point groups of elliptic curvesstatistics of elliptic curves

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Curves over finite and local fields (11G20)

Related Items (5)

SQUARE-FREE DISCRIMINANTS OF FROBENIUS RINGS ⋮ The distribution of the number of points modulo an integer on elliptic curves over finite fields ⋮ Primes, elliptic curves and cyclic groups ⋮ Counting Co-Cyclic Lattices ⋮ Constants in Titchmarsh divisor problems for elliptic curves

Cites Work

• Factoring integers with elliptic curves
• The distribution of group structures on elliptic curves over finite prime fields
• Advances in Elliptic Curve Cryptography
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