Workshop Goals

This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications, specially in cryptography and coding theory.

WAIFI 2026 will be held in Santander, Spain

Important Dates

  • Submission deadline (EXTENDED): March 15th (23:59h AoE), 2026
  • Acceptance notification: April 30th, 2026 April 7th, 2026
  • Workshop: June 3-5, 2026
  • Final version due: July 20th, 2026 April 16th, 2026

Poster Session

  • A poster session will be organized as part of the workshop (more information will be posted).

Main Workshop Themes

The topics of WAIFI 2026 include but are not limited to:

  • Theory of finite field arithmetic:

    • Bases (canonical; normal; dual; etc.)
    • Polynomials (irreducible; primitive; permutation)
    • Boolean functions and special functions over finite fields
    • Algebraic curves over finite fields
    • Dynamical systems over finite fields

  • Hardware & Software implementations:

    • Design & implementation of finite field processors
    • Design & implementation of arithmetic algorithms
    • Pseudorandom number generators
    • Hardware/software co-design

  • Applications of finite fields in:

    • Cryptography (ciphers; PQC; etc)
    • Coding theory (AG codes; LDPC codes; etc)
    • Combinatorics (designs; arrays; etc)
    • Finite geometry

Proceedings

The proceedings will be published in the Springer Lecture Notes in Computer Science series.

LNCS: Springer Lecture Notes in Computer Science.