Workshop Goals

The focus of this workshop is to have a forum bringing together mathematicians, engineers and physicists researching on finite field arithmetic to communicate and advance in the theory, applications and implementations of such fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.

Main Workshop Themes

The topics of WAIFI 2007 include but are not limited to:

  • Theory of finite field arithmetic:

    • Optimal bases (canonical, normal, dual, weakly dual, triangular ...)
    • Optimal irreducible polynomials
    • Primitive elements
    • Prime fields, extension fields, composite fields, tower fields ...
    • Elliptic and Hyperelliptic curves

  • Hardware/Software implementation of finite field arithmetic:

    • Optimal arithmetic modules
    • Design and implementation of finite field arithmetic processors
    • Design and implementation of arithmetic algorithms
    • Pseudorandom number generators
    • Hardware/Software Co-design
    • IP (Intellectual Property) components
    • Field programmable and reconfigurable systems

  • Applications:

    • Cryptography
    • Communication systems
    • Error correcting codes
    • Quantum computing


The proceedings will be published in the Springer Lecture Notes in Computer Science series in time for distribution at the workshop.

Links to close conferences or events

18th IEEE Symposium on Computer Arithmetic: ARITH18
Montpellier, France. June 25-27, 2007

International Workshop on Hadamard and Cocyclic Matrices and Applications: IWHCMA'07
Sevilla, Spain. June 18-19, 2007


LNCS: Springer Lecture Notes in Computer Science. FDI: Computer Science School, UCM.
ArTeCs: Architecture and Technology of Computing Systems Group, UCM. RSME: Real Sociedad Matemática Española (Spanish Mathematical Royal Society).
MEC: Spanish Ministry of Education and Science. UCM: Universidad Complutense de Madrid (Complutense University).