Construction of metrics on the set of elliptic curves over a finite field

DOI10.2298/PIM2123125HzbMath1474.14055OpenAlexW3157130349MaRDI QIDQ4985691

Keisuke Hakuta

Publication date: 24 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim2123125h

zbMATH Keywords

elliptic curvesmetricisomorphism

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Elliptic curves (14H52) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50) Elliptic curves over local fields (11G07)

Uses Software

• ECPP

Cites Work

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• A metric on the set of elliptic curves over \(\mathbb{F}_p\)
• Factoring integers with elliptic curves
• Metrics on the sets of nonsupersingular elliptic curves in simplified Weierstrass form over finite fields of characteristic two
• Elliptic Curves and Primality Proving
• The Arithmetic of Elliptic Curves
• Elliptic Curve Cryptosystems
• Reducing elliptic curve logarithms to logarithms in a finite field
• AN ELLIPTIC CURVE METRIC ON THE FUNDAMENTAL GROUP OVER $GF(2^5)$

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