Concepedia

Finite Field Computation

Finite Field Computation is a computational method that operates within the algebraic structure of finite fields, distinguished by its restriction to arithmetic and algorithmic operations over a finite set of elements governed by specific field axioms.

897

Publications

35.2K

Citations

1.6K

Authors

690

Institutions

Publications per year

2017–2026

86

Parents

Publications

897

A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves

Gerhard Frey, Hans-Georg Rück · Mathematics of Computation · 1994 · 563 citations

, , +15

Discovering faster matrix multiplication algorithms with reinforcement learning

Alhussein Fawzi, Matej Balog, Aja Huang et al. · Nature · 2022 · 450 citations · Full text

, , +14

The fast Fourier transform in a finite field

J. M. Pollard · Mathematics of Computation · 1971 · 415 citations

, , +14

MASCOT

Marcel Keller, Emmanuela Orsini, Peter Schöll · 2016 · 364 citations · Full text

, , +14

The Elementary Theory of Finite Fields

James Ax · Annals of Mathematics · 1968 · 346 citations

, , +12

1–5 of 897

Authors

1.6K

  1. JV
    Joachim von zur Gathen

    University of Toronto, Canada

    13 publications · 395 citations

    12

    h-index

  2. MH
    M.A. Hasan

    University of Waterloo, Canada

    12 publications · 1K citations

    12

    h-index

  3. VS
    Victor Shoup

    IBM Research - Zurich, Switzerland

    11 publications · 658 citations

    11

    h-index

  4. GL
    Gary L. Mullen

    Pennsylvania State University, United States

    11 publications · 272 citations

    10

    h-index

  5. HN
    Harald Niederreiter

    Austrian Academy of Sciences, Austria

    10 publications · 305 citations

    10

    h-index

1–5 of 1.6K

Institutions

690

  1. University of Waterloo

    Waterloo, Canada

    18 h-index

    31 publications

    2K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    15 h-index

    49 publications

    1.3K citations

  3. University of Toronto

    Toronto, Canada

    12 h-index

    17 publications

    564 citations

  4. Pennsylvania State University

    State College, United States

    12 h-index

    16 publications

    362 citations

  5. Austrian Academy of Sciences

    Vienna, Austria

    10 h-index

    13 publications

    340 citations

  6. Carleton University

    Ottawa, Canada

    10 h-index

    15 publications

    290 citations

  7. University of South Florida

    Tampa, United States

    10 h-index

    15 publications

    596 citations

  8. University of Southern California

    Los Angeles, United States

    9 h-index

    14 publications

    1.3K citations

1–8 of 690

Venues

  1. IEEE Transactions on Computers

    44 publications · 2.8K citations

    28

    h-index

  2. Finite Fields and Their Applications

    56 publications · 1.8K citations

    24

    h-index

  3. Mathematics of Computation

    MCOM · 40 publications · 3K citations

    21

    h-index

  4. The Journal of Chemical Physics

    25 publications · 1.4K citations

    21

    h-index

  5. IEEE Transactions on Information Theory

    25 publications · 921 citations

    18

    h-index

1–5