Concepedia

Differentially Finite Generating Functions

A Differentially Finite Generating Function is a formal power series that satisfies a linear differential equation with polynomial coefficients, distinguishing it from other generating functions by its closure under differentiation and representation through finite-dimensional linear systems.

10

Publications

334

Citations

16

Authors

19

Institutions

Publications per year

2017–2026

5

Variants

D-finite Generating FunctionsHolonomic Generating Functions

Parents

Publications

10

Classes of Quadratic APN Trinomials and Hexanomials and Related Structures

Lilya Budaghyan, Claude Carlet · IEEE Transactions on Information Theory · 2008 · 105 citations

, , +8

More differentially 6-uniform power functions

Céline Blondeau, Léo Perrin · Designs Codes and Cryptography · 2014 · 38 citations

, , +5

A note on the differential spectrum of a differentially 4-uniform power function

Maosheng Xiong, Haode Yan · Finite Fields and Their Applications · 2017 · 34 citations

, , +9

Some classes of power functions with low c-differential uniformity over finite fields

Zhengbang Zha, Lei Hu · Designs Codes and Cryptography · 2021 · 33 citations

, , +6

On a conjecture of differentially 8-uniform power functions

Maosheng Xiong, Haode Yan, Pingzhi Yuan · Designs Codes and Cryptography · 2017 · 31 citations

, , +6

1–5 of 10

Authors

16

  1. HY
    Haode Yan

    Southwest Jiaotong University, China

    3 publications · 83 citations

    3

    h-index

  2. CC
    Claude Carlet

    Université Paris 8, France

    2 publications · 128 citations

    2

    h-index

  3. MX
    Maosheng Xiong

    Hong Kong University of Science and Technology, Hong Kong SAR China

    2 publications · 65 citations

    2

    h-index

  4. CB
    Céline Blondeau

    Aalto University, Finland

    1 publications · 38 citations

    1

    h-index

  5. LP
    Léo Perrin

    Institut national de recherche en sciences et technologies du numérique, France

    1 publications · 38 citations

    1

    h-index

1–5 of 16

Institutions

19

  1. Southwest Jiaotong University

    Chengdu, China

    3 h-index

    3 publications

    83 citations

  2. Université Paris Cité

    Paris, France

    2 h-index

    2 publications

    128 citations

  3. Université Paris 8

    Paris, France

    2 h-index

    2 publications

    128 citations

  4. Hong Kong University of Science and Technology

    Hong Kong, Hong Kong

    2 h-index

    2 publications

    65 citations

  5. Aalto University

    Espoo, Finland

    1 h-index

    1 publications

    38 citations

  6. Institute of Information Engineering

    Beijing, China

    1 h-index

    1 publications

    33 citations

  7. Université Sorbonne Paris Nord

    Villetaneuse, France

    1 h-index

    1 publications

    23 citations

  8. University of Bergen

    Bergen, Norway

    1 h-index

    1 publications

    105 citations

1–8 of 19

Venues

  1. Designs Codes and Cryptography

    3 publications · 102 citations

    3

    h-index

  2. Cryptography and Communications

    2 publications · 37 citations

    2

    h-index

  3. European Journal of Combinatorics

    1 publications · 16 citations

    1

    h-index

  4. Finite Fields and Their Applications

    1 publications · 34 citations

    1

    h-index

  5. IEEE Transactions on Information Theory

    1 publications · 105 citations

    1

    h-index

1–5