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A Fast Diffie—Hellman Protocol in Genus 2

https://doi.org/10.1007/pl00003818
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-58691-1_39openalex-snapshot
A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields
inferredcites →https://doi.org/10.1007/3-540-61581-4_36openalex-snapshot
Counting rational points on curves and abelian varieties over finite fields
inferredcites →https://doi.org/10.1007/3-540-61581-4_63openalex-snapshot
Computational aspects of curves of genus at least 2
inferredcites →https://doi.org/10.1007/3-540-61581-4_66openalex-snapshot
Discrete logarithms: The effectiveness of the index calculus method
inferredcites →https://doi.org/10.1007/bf02252872openalex-snapshot
Hyperelliptic cryptosystems
inferredcites →https://doi.org/10.1017/cbo9780511526084openalex-snapshot
Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0866101-0openalex-snapshot
Computing in the Jacobian of a Hyperelliptic Curve
inferredcites →https://doi.org/10.1090/s0025-5718-1990-1035941-xopenalex-snapshot
Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields
inferredcites →https://doi.org/10.1515/crll.1993.439.45openalex-snapshot
The group law on the jacobian of a curve of genus 2.
inferredcites →https://doi.org/10.1515/crll.1994.447.91openalex-snapshot
On the analogue of the division polynomials for hyperelliptic curves.
inferredcites →https://doi.org/10.22028/d291-25831openalex-snapshot
LiDIA : a library for computational number theory
inferredcites →https://doi.org/10.4064/aa-79-4-333-352openalex-snapshot
Canonical heights on the Jacobians of curves of genus 2 and the infinite descent

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-030-03332-3_16openalex-snapshot
Computing Supersingular Isogenies on Kummer Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-319-69453-5_25openalex-snapshot
Fast, Uniform Scalar Multiplication for Genus 2 Jacobians with Fast Kummers
inferred← citeshttps://doi.org/10.1007/978-3-319-70697-9_1openalex-snapshot
Kummer for Genus One over Prime Order Fields
inferred← citeshttps://doi.org/10.1007/978-3-540-69499-1_15openalex-snapshot
Montgomery Ladder for All Genus 2 Curves in Characteristic 2
inferred← citeshttps://doi.org/10.1007/978-3-540-77272-9_19openalex-snapshot
Extractors for Jacobian of Hyperelliptic Curves of Genus 2 in Odd Characteristic
inferred← citeshttps://doi.org/10.1007/978-3-642-31284-7_18openalex-snapshot
Zero-Value Point Attacks on Kummer-Based Cryptosystem
inferred← citeshttps://doi.org/10.1007/978-3-642-38348-9_12openalex-snapshot
Fast Cryptography in Genus 2
inferred← citeshttps://doi.org/10.1007/s00145-014-9188-7openalex-snapshot
Fast Cryptography in Genus 2
inferred← citeshttps://doi.org/10.1007/s00145-019-09320-4openalex-snapshot
Kummer for Genus One Over Prime-Order Fields
inferred← citeshttps://doi.org/10.1007/s11786-009-0013-xopenalex-snapshot
Traces of the Group Law on the Kummer Surface of a Curve of Genus 2 in Characteristic 2
inferred← citeshttps://doi.org/10.1007/s13389-017-0157-6openalex-snapshot
Montgomery curves and their arithmetic
inferred← citeshttps://doi.org/10.12694/scpe.v20i1.1488openalex-snapshot
A Secure Structure for Hiding Information in a Cryptosystem based on Machine-learning Techniques and Content-based Optimization using Portfolio Selection Data
inferred← citeshttps://doi.org/10.1515/jmc.2007.012openalex-snapshot
Fast genus 2 arithmetic based on Theta functions
inferred← citeshttps://doi.org/10.48550/arxiv.1510.03174openalex-snapshot
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes
inferred← citeshttps://doi.org/10.6100/ir637900openalex-snapshot
Curves and Jacobians:number extractors and efficient arithmetic
inferred← citeshttps://doi.org/10.70675/213abca0ze883z48f6z97a2z0e84d266952copenalex-snapshot
Unités arithmétiques et cryptoprocesseurs matériels pour la cryptographie sur courbe hyperelliptique
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