Open Research Index

Carlet's Kasami cyclic-additive conjecture

D.S. McNeil, Gábor P. Nagy, Attila Vajda

Palomar Registrypalomar/PALOMAR-2026-09-04-000005Sep 4, 2026math.COscore 0

A Lean formalization of the Kasami cyclic-additive conjecture introduced by Claude Carlet. For the derivative image of the Kasami monomial x^(4^k-2^k+1) with gcd(k,n)=1, over a finite field of characteristic two with 2^n elements, the formalized result gives the exact three-variable coefficient count 2^(2n-3) for every pair of distinct nonzero coefficients.

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