Endomorphisms for faster elliptic curve cryptography on a large class of curves
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Publication:451123
DOI10.1007/s00145-010-9065-yzbMath1258.94036OpenAlexW2064534471WikidataQ61914034 ScholiaQ61914034MaRDI QIDQ451123
J. Herrera, D. Rodríguez-Gómez
Publication date: 21 September 2012
Published in: Journal of Cryptology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00145-010-9065-y
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Applications to coding theory and cryptography of arithmetic geometry (14G50)
Related Items (25)
Fast cryptography in genus 2 ⋮ Ready-made short basis for GLV+GLS on high degree twisted curves ⋮ A New Encoding Algorithm for a Multidimensional Version of the Montgomery Ladder ⋮ Pairing Computation on Edwards Curves with High-Degree Twists ⋮ Efficient Software Implementation of Laddering Algorithms Over Binary Elliptic Curves ⋮ The \(\mathbb Q\)-curve construction for endomorphism-accelerated elliptic curves ⋮ Faster beta Weil pairing on BLS pairing friendly curves with odd embedding degree ⋮ Generalised Mersenne numbers revisited ⋮ Subgroup Security in Pairing-Based Cryptography ⋮ Efficiently computable endomorphism for genus 3 hyperelliptic curve cryptosystems ⋮ Index calculus in the trace zero variety ⋮ Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0 ⋮ A note on inverted twisted Edwards curve ⋮ A new twofold Cornacchia-type algorithm and its applications ⋮ The pairing computation on Edwards curves ⋮ Extending the GLS endomorphism to speed up GHS Weil descent using Magma ⋮ New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0 ⋮ An optimal representation for the trace zero subgroup ⋮ A Multivariate Encryption Scheme with Rainbow ⋮ Cryptography on twisted Edwards curves over local fields ⋮ Four-dimensional Gallant-Lambert-Vanstone scalar multiplication ⋮ Modified Gaudry-Schost algorithm for the two-dimensional discrete logarithm problem ⋮ Fast Elliptic-Curve Cryptography on the Cell Broadband Engine ⋮ Point compression for the trace zero subgroup over a small degree extension field ⋮ Revocable hierarchical identity-based authenticated key exchange
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