New Commutative Semifields and Their Nuclei
Document Type
Conference Proceeding
Publication Date
2009
Department
Department of Mathematical Sciences
Abstract
Commutative semifields in odd characteristic can be equivalently described by planar functions (also known as PN functions). We describe a method to construct a semifield which is canonically associated to a planar function and use it to derive information on the nuclei directly from the planar function. This is used to determine the nuclei of families of new commutative semifields of dimensions 9 and 12 in arbitrary odd characteristic.
Publication Title
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISBN
978-3-642-02181-7
Recommended Citation
Bierbrauer, J.
(2009).
New Commutative Semifields and Their Nuclei.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),
5527 LNCS, 179-185.
http://doi.org/10.1007/978-3-642-02181-7_19
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4171