Concepedia

Big Integer Arithmetic

Big Integer Arithmetic is a computational method in cryptographic implementation that performs arithmetic operations on integers exceeding the standard machine word size, enabling precise manipulation of large numbers essential for cryptographic algorithms.

41

Publications

1.2K

Citations

74

Authors

42

Institutions

Publications per year

2017–2026

9

Variants

Arbitrary-precision ArithmeticBignum Arithmetic

Parents

Publications

41

Training high-performance and large-scale deep neural networks with full 8-bit integers

Yukuan Yang, Lei Deng, Shuang Wu et al. · Neural Networks · 2020 · 117 citations

, , +11

A Comprehensive Survey on Arithmetic Optimization Algorithm

Krishna Gopal Dhal, Buddhadev Sasmal, Arunita Das et al. · Archives of Computational Methods in Engineering · 2023 · 77 citations · Full text

, , +13

Discrete Weighted Transforms and Large-Integer Arithmetic

Richard E. Crandall, Barry Fagin · Mathematics of Computation · 1994 · 75 citations

, , +12

A Pipeline Architecture for Factoring Large Integers with the Quadratic Sieve Algorithm

Carl Pomerance, Jeffrey W. Smith, Randy Tuler · SIAM Journal on Computing · 1988 · 61 citations

, , +15

Discrete weighted transforms and large-integer arithmetic

Richard E. Crandall, Barry Fagin · Mathematics of Computation · 1994 · 55 citations · Full text

, , +12

1–5 of 41

Authors

74

  1. BF
    Barry Fagin

    United States Air Force Academy, United States

    3 publications · 144 citations

    3

    h-index

  2. SW
    Shuang Wu

    Tsinghua University, China

    2 publications · 128 citations

    2

    h-index

  3. LD
    Lei Deng

    Tsinghua University, China

    2 publications · 128 citations

    2

    h-index

  4. JL
    Jianya Liu

    Shandong University, China

    2 publications · 59 citations

    2

    h-index

  5. TW
    Tianze Wang

    Henan University, China

    2 publications · 59 citations

    2

    h-index

1–5 of 74

Institutions

42

  1. Shandong University

    Jinan, China

    3 h-index

    3 publications

    70 citations

  2. University of Hong Kong

    Pok Fu Lam, Hong Kong

    2 h-index

    2 publications

    59 citations

  3. Henan University

    Kaifeng, China

    2 h-index

    2 publications

    59 citations

  4. University of California, Santa Barbara

    Santa Barbara, United States

    2 h-index

    2 publications

    128 citations

  5. Tsinghua University

    Beijing, China

    2 h-index

    2 publications

    128 citations

  6. Beijing Institute of Technology

    Beijing, China

    2 h-index

    2 publications

    128 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    55 citations

  8. University of Rome Tor Vergata

    Rome, Italy

    2 h-index

    2 publications

    25 citations

1–8 of 42

Venues

  1. Mathematics of Computation

    MCOM · 6 publications · 189 citations

    6

    h-index

  2. Communications of the ACM

    2 publications · 73 citations

    2

    h-index

  3. arXiv (Cornell University)

    Repository · 2 publications · 38 citations

    2

    h-index

  4. IEEE Transactions on Computers

    2 publications · 64 citations

    2

    h-index

  5. Choice Reviews Online

    CRO · 2 publications · 70 citations

    2

    h-index

1–5