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Lattice enumeration for tower NFS: a 521-bit discrete logarithm computation - MaRDI portal

Lattice enumeration for tower NFS: a 521-bit discrete logarithm computation (Q6157486)

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scientific article; zbMATH DE number 7684754

Language	Label	Description	Also known as
English	Lattice enumeration for tower NFS: a 521-bit discrete logarithm computation	scientific article; zbMATH DE number 7684754

Statements

scholarly article

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Lattice enumeration for tower NFS: a 521-bit discrete logarithm computation (English)

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Gabrielle De Micheli

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Pierrick Gaudry

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Cécile Pierrot

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Lecture Notes in Computer Science

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publication date

12 May 2023

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zbMATH Keywords

number field sieve

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tower variant

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-92062-3_3

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Improving NFS for the Discrete Logarithm Problem in Non-prime Finite Fields

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A Heuristic Quasi-Polynomial Algorithm for Discrete Logarithm in Finite Fields of Small Characteristic

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The Tower Number Field Sieve

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Scalable Zero Knowledge via Cycles of Elliptic Curves

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Faster cofactorization with ECM using mixed representations

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Improved Methods for Calculating Vectors of Short Length in a Lattice, Including a Complexity Analysis

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Lattice Enumeration Using Extreme Pruning

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On the discrete logarithm problem in finite fields of fixed characteristic

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Computing discrete logarithms in \(\mathbb F_{p^6}\)

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A short-list of pairing-friendly curves resistant to special TNFS at the 128-bit security level

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Faster individual discrete logarithms in finite fields of composite extension degree

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Improved Analysis of Kannan’s Shortest Lattice Vector Algorithm

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An experiment of number field sieve for discrete logarithm problem over $\text{GF}(p^n)$

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The Number Field Sieve in the Medium Prime Case

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Nearly sparse linear algebra and application to discrete logarithms computations

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Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case

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Extended Tower Number Field Sieve with Application to Finite Fields of Arbitrary Composite Extension Degree

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Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic

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Factoring integers with elliptic curves

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Lattice sieving in three dimensions for discrete log in medium characteristic

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Algorithmic Number Theory

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New Complexity Trade-Offs for the (Multiple) Number Field Sieve Algorithm in Non-Prime Fields

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Using number fields to compute logarithms in finite fields

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Lattice basis reduction: Improved practical algorithms and solving subset sum problems

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Solving sparse linear equations over finite fields

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-92062-3_3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6157486

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