Concepedia

Isogeny Computation

Isogeny Computation is the systematic determination of rational maps between elliptic curves that preserve group structure and are defined over finite fields, distinguished within computational number theory by enabling explicit constructions of isogenies for cryptographic applications and algorithmic analysis of curve-based arithmetic.

128

Publications

5.5K

Citations

201

Authors

155

Institutions

Publications per year

2017–2026

31

Parents

Publications

128

Rational isogenies of prime degree

Barry Mazur, Dorian Goldfeld · Inventiones mathematicae · 1978 · 685 citations

, , +6

Stacks of stable maps and Gromov-Witten invariants

Kai Behrend, Yu. I. Manin · Duke Mathematical Journal · 1996 · 319 citations

, , +6

Constructing elliptic curve isogenies in quantum subexponential time

2010 · 235 citations

, , +16

Public-Key Cryptosystem Based on Isogenies.

Alexander Rostovtsev, Anton Stolbunov · IACR Cryptology ePrint Archive · 2006 · 207 citations

, , +17

Constructing elliptic curve isogenies in quantum subexponential time

Journal of Mathematical Cryptology · 2013 · 187 citations · Full text

, , +16

1–5 of 128

Authors

201

  1. KL
    Kristin Lauter

    Microsoft (United States), United States

    9 publications · 257 citations

    9

    h-index

  2. SD
    Steven D. Galbraith⋆

    Royal Holloway University of London, United Kingdom

    6 publications · 368 citations

    6

    h-index

  3. MA
    M. A. Kenku

    University of Ibadan, Nigeria

    4 publications · 176 citations

    4

    h-index

  4. CP
    Christophe Petit

    UCLouvain, Belgium

    3 publications · 186 citations

    3

    h-index

  5. AS
    Alice Silverberg

    University of California, Irvine, United States

    3 publications · 46 citations

    3

    h-index

1–5 of 201

Institutions

155

  1. Microsoft (United States)

    Redmond, United States

    8 h-index

    9 publications

    458 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    8 h-index

    8 publications

    283 citations

  3. University of Auckland

    Auckland, New Zealand

    6 h-index

    10 publications

    331 citations

  4. University of Waterloo

    Waterloo, Canada

    5 h-index

    9 publications

    703 citations

  5. Institut de Mathématiques de Bordeaux

    Talence, France

    5 h-index

    6 publications

    175 citations

  6. University of Warwick

    Coventry, United Kingdom

    5 h-index

    5 publications

    147 citations

  7. École Polytechnique

    Palaiseau, France

    4 h-index

    4 publications

    153 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    4 publications

    163 citations

1–8 of 155

Venues

  1. LMS Journal of Computation and Mathematics

    8 publications · 353 citations

    8

    h-index

  2. Mathematics of Computation

    MCOM · 7 publications · 310 citations

    7

    h-index

  3. Journal of Number Theory

    7 publications · 214 citations

    7

    h-index

  4. The Open Book Series

    6 publications · 151 citations

    6

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 5 publications · 189 citations

    5

    h-index

1–5