Concepedia

Modular Inverses

Modular Inverses is a mathematical construct in modular arithmetic defined as the unique integer multiplicative inverse of a given integer modulo a coprime base, such that their product is congruent to one modulo that base.

30

Publications

2K

Citations

57

Authors

39

Institutions

Publications per year

2017–2026

4

Parents

Publications

30

A fast algorithm for computing multiplicative inverses in GF(2m) using normal bases

Toshiya Itoh, Shigeo Tsujii · Information and Computation · 1988 · 636 citations

, , +12

RGB Image Encryption through Cellular Automata, S-Box and the Lorenz System

Wassim Alexan, Mohamed ElBeltagy, Amr Aboshousha · Symmetry · 2022 · 175 citations · Full text

, , +13

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

The Montgomery modular inverse-revisited

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

, , +11

1–5 of 30

Authors

57

  1. IE
    Igor E. Shparlinski

    Macquarie University, Australia

    3 publications · 61 citations

    3

    h-index

  2. AH
    Ahmad Hiasat

    Princess Sumaya University for Technology, Jordan

    2 publications · 111 citations

    2

    h-index

  3. MC
    Mihai Cristea

    University of Bucharest, Romania

    1 publications · 12 citations

    1

    h-index

  4. PK
    Peter Kornerup

    University of Southern Denmark, Denmark

    1 publications · 78 citations

    1

    h-index

  5. MV
    Miroslav Vlček

    University of Pardubice, Czechia

    1 publications · 20 citations

    1

    h-index

1–5 of 57

Institutions

39

  1. Macquarie University

    Sydney, Australia

    2 h-index

    3 publications

    58 citations

  2. Princess Sumaya University for Technology

    Amman, Jordan

    2 h-index

    2 publications

    111 citations

  3. German University in Cairo

    Cairo, Egypt

    1 h-index

    3 publications

    525 citations

  4. New Jersey Institute of Technology

    Newark, United States

    1 h-index

    1 publications

    12 citations

  5. Eastern Connecticut State University

    Willimantic, United States

    1 h-index

    1 publications

    22 citations

  6. University of Jordan

    Amman, Jordan

    1 h-index

    1 publications

    18 citations

  7. Northwest University

    Xi'an, China

    1 h-index

    1 publications

    25 citations

  8. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Erlangen, Germany

    1 h-index

    2 publications

    40 citations

1–8 of 39

Venues

  1. IEEE Transactions on Computers

    4 publications · 510 citations

    4

    h-index

  2. 3

    h-index

  3. IEEE Transactions on Circuits and Systems

    2 publications · 36 citations

    2

    h-index

  4. 1

    h-index

  5. 1

    h-index

1–5