Commutative semifields from projection mappings
Document Type
Article
Publication Date
11-2011
Department
Department of Mathematical Sciences
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.
Publication Title
Designs, Codes, and Cryptography
Recommended Citation
Bierbrauer, J.
(2011).
Commutative semifields from projection mappings.
Designs, Codes, and Cryptography,
61(2), 187-196.
http://doi.org/10.1007/s10623-010-9447-z
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4877
