New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0

DOI10.1016/j.ffa.2020.101774zbMath1467.14067OpenAlexW3093642973MaRDI QIDQ1995209

Dmitrii Koshelev

Publication date: 19 February 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101774

zbMATH Keywords

pairing-based cryptographyconic bundlesrationality problemsWeil restrictionpoint compressionelliptic curves with \(j=0\)generalized Kummer surfacessingular cubic surfaces

Mathematics Subject Classification ID

Elliptic curves (14H52) Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Vector bundles on curves and their moduli (14H60) Applications to coding theory and cryptography of arithmetic geometry (14G50) Rationality questions in algebraic geometry (14E08)

Related Items (3)

Faster point compression for elliptic curves of $j$-invariant $0$ ⋮ A classification of the automorphism groups of polarized abelian threefolds over finite fields ⋮ Hashing to elliptic curves through Cipolla-Lehmer-Müller's square root algorithm

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0
• Endomorphisms for faster elliptic curve cryptography on a large class of curves
• Point compression for Koblitz elliptic curves
• Four-dimensional Gallant-Lambert-Vanstone scalar multiplication
• On Castelnuovo's criterion of rationality P\(_a\)=P\(_2\)=0 of an algebraic surface
• Zariski \(K3\) surfaces
• Finite automorphism groups of complex tori of dimension two
• Quotients of abelian surfaces
• A taxonomy of pairing-friendly elliptic curves
• New cube root algorithm based on the third order linear recurrence relations in finite fields
• Solving conics over functions fields
• Four $$\mathbb {Q}$$ : Four-Dimensional Decompositions on a $$\mathbb {Q}$$ -curve over the Mersenne Prime
• Guide to Pairing-Based Cryptography
• Optimal Eta Pairing on Supersingular Genus-2 Binary Hyperelliptic Curves
• Identity-Based Cryptosystems and Signature Schemes
• The Eta Pairing Revisited
• The Arithmetic of Elliptic Curves
• Arithmetic on Singular Del Pezzo Surfaces
• Square Root Computation over Even Extension Fields
• Pairing-Friendly Elliptic Curves of Prime Order
• RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES
• RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES AND WITH POSITIVE SQUARE OF THE CANONICAL CLASS

This page was built for publication: New point compression method for elliptic \(\mathbb{F}_{q^2}\)-curves of \(j\)-invariant 0