Philippe Langevin's numerical project page

A page reporting miscellaneous numerical experiments/challenges in the domaine of finite fields .

Numerical experiments in mathematics for the mathematic meet the origin of computers and computer sciences.

- Classification of Boolean cubics forms in 9 variables
- Walsh Spectrums of Power functions.
- Classification of Boolean quartic forms in 8 variables
- Counting Partial Spread Functions in 8 variables
- Affine Classification of Boolean functions
- checking Helleseth's conjecture in dimension 32
- APN mappings in dimension 5
- Classification of RM(4,7)/RM(2,7)
- Near Bent in dimension 7
- APN cubics in dimension 6
- nice exponents
- classification of bent cubics in dimension 8
- checking Helleseth's conjecture in dimension less <=32
- exploration of binomial Weil sums
- generalized bent function
- some fact on APN
- semi-ring of binary space
- almost perfect sequences
- classification of RM(3,8)/RM(1,8)
- AG and GL conjugacy classes
- classification in 7 variables
- covering radius of RM(4,8)

Philippe Langevin, Last modification, Automn 2016.