Title

Commutative semifields from projection mappings

Document Type

Article

Publication Date

11-1-2011

Abstract

We describe a general projection method to construct commutative semifields in odd characteristic. One application yields a family of commutative semifields of order q 2m with middle nucleus of order at least q 2 for every odd prime-power q and every odd integer m > 1. Another application of the method yields a generalization of the Budaghyan-Helleseth family and also greatly simplifies the construction. © 2010 Springer Science+Business Media, LLC.

Publication Title

Designs, Codes, and Cryptography

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