Concepedia

Modular Inversion

Modular Inversion is the mathematical operation of determining the multiplicative inverse of an integer modulo a given number, within the ring of integers modulo 𝑛, such that the product of the integer and its inverse is congruent to 1 modulo 𝑛.

49

Publications

1.6K

Citations

115

Authors

65

Institutions

Publications per year

2017–2026

14

Parents

Publications

49

The Montgomery inverse and its applications

Burton S. Kaliski · IEEE Transactions on Computers · 1995 · 172 citations

, , +14

On computing multiplicative inverses in GF(2/sup m/)

Hermann Brunner, Andreas Curiger, M. Hofstetter · IEEE Transactions on Computers · 1993 · 142 citations

, , +14

Hardware Elliptic Curve Cryptographic Processor Over<tex>$rm GF(p)$</tex>

C. McIvor, M. McLoone, J.V. McCanny · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2006 · 123 citations

, , +17

The Montgomery modular inverse-revisited

Erkay Savaş, Çetin Kaya Koç · IEEE Transactions on Computers · 2000 · 118 citations

, , +11

A fast algorithm for multiplicative inversion in GF(2/sup m/) using normal basis

Naofumi Takagi, J. Yoshiki, Kazuyoshi Takagi · IEEE Transactions on Computers · 2001 · 72 citations

, , +14

1–5 of 49

Authors

115

  1. TH
    Thomas Heege

    Eomap (Germany), Germany

    3 publications · 99 citations

    3

    h-index

  2. WZ
    Wenpeng Zhang

    Northwest University, China

    3 publications · 71 citations

    3

    h-index

  3. JM
    J.V. McCanny

    Queen's University Belfast, United Kingdom

    2 publications · 148 citations

    2

    h-index

  4. BY
    Bo‐Yin Yang

    Academia Sinica, Taiwan

    2 publications · 107 citations

    2

    h-index

  5. HZ
    Hanlin Zhang

    Xi'an Jiaotong University, China

    2 publications · 55 citations

    2

    h-index

1–5 of 115

Institutions

65

  1. Macquarie University

    Sydney, Australia

    3 h-index

    5 publications

    106 citations

  2. Northwest University

    Xi'an, China

    2 h-index

    2 publications

    54 citations

  3. University of Illinois Chicago

    Chicago, United States

    2 h-index

    2 publications

    107 citations

  4. Institute of Information Science

    Maribor, Slovenia

    2 h-index

    2 publications

    107 citations

  5. Research Center for Information Technology Innovation, Academia Sinica

    Taipei, Taiwan

    2 h-index

    2 publications

    107 citations

  6. Queen's University Belfast

    Belfast, United Kingdom

    2 h-index

    6 publications

    444 citations

  7. Lund University

    Lund, Sweden

    2 h-index

    5 publications

    161 citations

  8. Technical University of Munich

    Munich, Germany

    2 h-index

    3 publications

    105 citations

1–8 of 65

Venues

  1. IEEE Transactions on Computers

    5 publications · 520 citations

    5

    h-index

  2. Electronics Letters

    3 publications · 45 citations

    3

    h-index

  3. Journal of Number Theory

    2 publications · 63 citations

    2

    h-index

  4. IEEE Access

    1 publications · 24 citations

    2

    h-index

  5. Geoscientific model development

    1 publications · 25 citations

    1

    h-index

1–5