The Probability that the Number of Points on an Elliptic Curve over a Finite Field is Prime

DOI10.1112/S0024610700001502zbMath1010.11033OpenAlexW2065592011MaRDI QIDQ3150952

Steven D. Galbraith, James McKee

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610700001502

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (8)

Distribution of elliptic twin primes in isogeny and isomorphism classes ⋮ Sums of Euler products and statistics of elliptic curves ⋮ Twisted Edwards Curves ⋮ Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection ⋮ The distribution of the number of points modulo an integer on elliptic curves over finite fields ⋮ Collisions in fast generation of ideal classes and points on hyperelliptic and elliptic curves ⋮ On the efficient generation of prime-order elliptic curves ⋮ A Public-Key Encryption Scheme with Pseudo-random Ciphertexts

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