Article ID Journal Published Year Pages File Type
4583027 Finite Fields and Their Applications 2012 8 Pages PDF
Abstract

Finite nonassociative division algebras (i.e., finite semifields) with 243 elements are completely classified. Nine Knuth orbits were found, two of which are new. All are primitive, and all but the twisted field planes are fractional dimensional.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory