Explicit constructions of triprojective APN permutations on vector spaces of odd dimensions divisible by three, plus non-bijective APN functions on even dimensions.
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A large family of commutative semifields non-isotopic to fields or Albert twisted fields is obtained from new semiquadratic bijections on P^2(F_q).
citing papers explorer
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Triprojective almost perfect nonlinear permutations and functions
Explicit constructions of triprojective APN permutations on vector spaces of odd dimensions divisible by three, plus non-bijective APN functions on even dimensions.
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Commutative Semifields from bijections of the Desarguesian plane
A large family of commutative semifields non-isotopic to fields or Albert twisted fields is obtained from new semiquadratic bijections on P^2(F_q).