On known constructions of APN and AB functions and their relation to each other
Sažetak This work is dedicated to APN and AB functions which are optimal against
differential and linear cryptanlysis when used as Sboxes in block ciphers. They also have
numerous applications in other branches of mathematics and information theory such as
coding theory, sequence design, combinatorics, algebra and projective geometry. In this
paper we give an overview of known constructions of APN and AB functions, in particular,
those leading to infinite classes of these functions. Among them, the bivariate construction …
differential and linear cryptanlysis when used as Sboxes in block ciphers. They also have
numerous applications in other branches of mathematics and information theory such as
coding theory, sequence design, combinatorics, algebra and projective geometry. In this
paper we give an overview of known constructions of APN and AB functions, in particular,
those leading to infinite classes of these functions. Among them, the bivariate construction …
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