Hashing to elliptic curves of \(j\)-invariant 1728

DOI10.1007/s12095-021-00478-yzbMath1487.14033OpenAlexW3177040653MaRDI QIDQ2120982

Dmitrii Koshelev

Publication date: 1 April 2022

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-021-00478-y

zbMATH Keywords

rational curvesfinite fieldsisogeniespairing-based cryptographyKummer surfacesWeil restrictionelliptic curves of \(j\)-invariant 1728

Mathematics Subject Classification ID

Elliptic curves (14H52) Finite ground fields in algebraic geometry (14G15) Rational and birational maps (14E05) Isogeny (14K02) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

Optimal Encodings to Elliptic Curves of \(\boldsymbol{j}\)-Invariants 0, 1728, The most efficient indifferentiable hashing to elliptic curves of \(j\)-invariant 1728

Uses Software

• CASA
• GitHub
• Elligator

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