Optimal Encodings to Elliptic Curves of \(\boldsymbol{j}\)-Invariants 0, 1728

DOI10.1137/21M1441602zbMath1506.14061OpenAlexW4311844652MaRDI QIDQ5057037

Dmitrii Koshelev

Publication date: 14 December 2022

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1441602

zbMATH Keywords

Weil pairingisogeniesoptimal coverscongruent elliptic curvesencodings to (hyper)elliptic curvesmedian value curves

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15) Coverings of curves, fundamental group (14H30) Computational aspects of algebraic curves (14Q05) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (2)

Optimal Encodings to Elliptic Curves of \(\boldsymbol{j}\)-Invariants 0, 1728 ⋮ Hashing to elliptic curves through Cipolla-Lehmer-Müller's square root algorithm

Uses Software

• Magma
• GitHub

Cites Work

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• GitHub
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