Concepedia

Modular Arithmetic Algorithms

Modular Arithmetic Algorithms is a class of computational methods that perform arithmetic operations within the finite set of integers modulo a given integer, distinguished by their reliance on congruence relations to enable efficient computation in number-theoretic and cryptographic applications.

357

Publications

17.8K

Citations

641

Authors

354

Institutions

Publications per year

2017–2026

56

Parents

Publications

357

Modular multiplication without trial division

Peter L. Montgomery · Mathematics of Computation · 1985 · 2.4K citations

, , +9

Modular Multiplication Without Trial Division

Peter L. Montgomery · Mathematics of Computation · 1985 · 1.1K citations · Full text

, , +9

DSPSR: Digital Signal Processing Software for Pulsar Astronomy

Publications of the Astronomical Society of Australia · 2011 · 586 citations · Full text

, , +10

Analyzing and comparing Montgomery multiplication algorithms

Çetin Kaya Koç, T. Acar, Burton S. Kaliski · IEEE Micro · 1996 · 558 citations

, , +11

FIRE6: Feynman Integral REduction with modular arithmetic

Alexander V. Smirnov, F.S. Chukharev · Computer Physics Communications · 2019 · 397 citations · Full text

, , +8

1–5 of 357

Authors

641

  1. ÇK
    Çetin Kaya Koç

    Oregon State University, United States

    13 publications · 1.2K citations

    12

    h-index

  2. NT
    Naofumi Takagi

    Nagoya University, Japan

    11 publications · 429 citations

    10

    h-index

  3. CD
    Colin D. Walter

    University of Manchester, United Kingdom

    9 publications · 815 citations

    9

    h-index

  4. SL
    Shuguo Li

    Tsinghua University, China

    8 publications · 190 citations

    8

    h-index

  5. JB
    Jean-Claude Bajard

    Centre National de la Recherche Scientifique, France

    7 publications · 398 citations

    7

    h-index

1–5 of 641

Institutions

354

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    20 publications

    748 citations

  2. Oregon State University

    Corvallis, United States

    12 h-index

    23 publications

    2.3K citations

  3. Tsinghua University

    Beijing, China

    10 h-index

    28 publications

    1.4K citations

  4. Institute of Microelectronics

    Beijing, China

    10 h-index

    30 publications

    1.4K citations

  5. University of Manchester

    Manchester, United Kingdom

    8 h-index

    10 publications

    1K citations

  6. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    7 h-index

    10 publications

    369 citations

  7. Laboratoire d'Informatique, de Robotique et de Microélectronique de Montpellier

    Montpellier, France

    6 h-index

    9 publications

    305 citations

  8. Simon Fraser University

    Burnaby, Canada

    6 h-index

    9 publications

    200 citations

1–8 of 354

Venues

  1. IEEE Transactions on Computers

    28 publications · 1.8K citations

    21

    h-index

  2. Mathematics of Computation

    MCOM · 13 publications · 3.8K citations

    12

    h-index

  3. Electronics Letters

    10 publications · 794 citations

    10

    h-index

  4. 10

    h-index

  5. International Journal of Computer Mathematics

    8 publications · 147 citations

    8

    h-index

1–5