A new family of semifields with 2 parameters

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A new family of semifields with 2 parameters

Zhou, Yue; Pott, Alexander

Advances in mathematics, 02/2013, Volume: 234

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A new family of commutative semifields with two parameters is presented. Its left and middle nucleus are both determined. Furthermore, we prove that for 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 a similar construction, new APN functions are given.

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Zhou, Yue | Pott, Alexander

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