6-bits APNS


November 2026.


Definitions

Let m, r, s, t be a positive integers. The space of vectorial Boolean functions from GF(2)^m into GF(2)^r of degree less or equal to t and valuation greater or equal s is denoted by V_r(s, t, m). The direct product of the linear group GL(2, r) by the affine group AG(2, m) acts over the spaces V_r( s, t, m ). Two vectorial functions f and g in V_r(s, t, m) are said to be s-equivalent when there exists A in GL(2,r) and B in AG(2, m ) such that

g = A o f o B modulo terms of degree less that s.

One notres that the notion of EA-equivalebce coincides with our notion 2-equivalence...

[ known ] [ sujets M2 ]

Philippe Langevin at imath,
last modification : November 2026.