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

Numerical experiences

• 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)
• ab-APN
• Maiorana-McFaland
• covering radii of RM-code
• quadratic APN
• 8-bit bent function
• relative degree

data files

• 8-bit bent function
• classification of Boolean function
• 8-bit quadratic APN

Future jobs

• best pair of binary sequences
• near bent cubics in dimension 9