Regular subgroups with large intersection

Riccardo Aragona, Roberto Civino, Norberto Gavioli, Carlo Maria Scoppola

In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow $2$-subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mathbb{F}_2^n)$, in view of the interest that they have recently raised for their applications in symmetric cryptography.

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