A new family of semifields with 2 parameters

Details A new family of semifields with 2 parameters A new family of semifields with 2 parameters

2011-03-23

arxiv.org/abs/1103.4555v1

Mathematics

Combinatorics

Scientific paper

A new family of commutative semifields with two parameters is presented. Its left and middle nucleus are both determined. Furthermore, we prove that for any different pairs of parameters, these semifields are not isotopic. It is also shown that, for some special parameters, one semifield in this family can lead to two inequivalent planar functions. Finally, using similar construction, new APN functions are given.

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