Short Course on APN Functions and Related Structures

Faculty of Engineering and Natural Sciences

SEMINAR ANNOUNCEMENT

Short Course on APN
Functions and Related Structures

Gary
McGuire, UCD,
Claude Shannon Institute

In
the last fifteen years or so, interest in APN (Almost Perfect Nonlinear)
functions has grown

and grown.These functions are mappings
between finite fields having certain extremal

properties. In these lectures we will give an
introduction to APN functions, and a survey of

the area. In particular, we will explain the
connections to areas such as cryptography, coding

theory, sequences, and geometry.

We will discuss the important tools in the
study of APN functions, such as quadratic forms,linearized polynomials,and the
Fourier transform. We will explain how these arise, and give  some
applications.The theory of polynomials over finite fields is heavily used.
Along the way  we will mention various open problems, and ideas for future
research.

In the final lecture we will outline some
connections to algebraic geometry and number theory, particularly curves over
finite fields.

15-17
March, 2010, FENS 2019

Schedule:

15 March, Monday

16:00-17:30

16 March, Tuesday

13:00-14:00

17 March, Wednesday

16:00-17:30

 



All interested are welcome. However if you wish to
participate, please notify Ayça Çeşmelioğlu at:
cesmelioglu@sabanciuniv.edu, to help planning of the event.

  


Visit of Prof. McGuire is supported by TÜBİTAK.