BFA 2026 Accepted Abstracts

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Affine and cyclic affine equivalence of rotation-symmetric S-boxes
Tron Omland and Pantelimon Stănică

A lower bound on the number of bent squares
Jan Kristian Haugland

A new construction of non-weakly regular bent functions in odd characteristic
Lukas Kölsch and Rumi Pelen

Bounds on the number of nonvanishing flats of Boolean functions
Domingo Gomez Perez, Alexander Pott, Alexandr Polujan and Christian Kaspers

Classification of rational functions of degree three over finite fields
Xiang-Dong Hou and Shujun Zhao

Differentially 2t-uniform quadrinomials with high nonlinearity
Niki Spithaki, Enrico Piccione, Lilya Budaghyan and Alexander Kholosha

Explaining explainable AI: Boolean functions and an application
Marcelo Arenas and Ricardo Rodriguez Reveco

Fourier moments, higher Sidon sets, and syndrome covering
Ferruh Ozbudak and Vladimir Potapov

Generalized Markov ciphers with application to differential cryptanalysis of SAFER
Serhii Yakovliev and Lyudmyla Kovalchuk

New binomial functions with optimal second-order differential uniformity
Aly Khimani, Ana Salagean and Nikolay Stoyanov Kaleyski

New invariants of Boolean and vectorial functions
Philippe Langevin and Valérie Gillot

On APN power functions in characteristic 5
Minwoo Ko, Byunguk Kim, Namhun Koo and Soonhak Kwon

On the APN lifting conjecture over Galois rings
Daniele Bartoli and Pantelimon Stănică

On the binary digit extraction of numerical normal form coefficients of Boolean functions
Claude Gravel and Daniel Panario

On the Fourier entropy–influence conjecture for Boolean plateaued functions
Vladimir Potapov

Rayleigh quotients of Maiorana–McFarland bent functions
Bimal Mandal, Veeresh Chaudhary and Sugata Gangopadhyay

Ternary binomial and trinomial (vectorial) bent functions in the completed class M
Tor Helleseth, Alexander Kholosha and Niki Spithaki

Trace-norm reductions for the boomerang spectrum of the APN map xq+2 over GF(q2)
Kirpa Garg, Constanza Riera and Pantelimon Stanica