Commutative semifields from projection mappings
Department of Mathematical Sciences
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.
Designs, Codes, and Cryptography
Commutative semifields from projection mappings.
Designs, Codes, and Cryptography,
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4877