Determination of division algebras with 243 elements

作者:Rua I F*; Combarro Elias F; Ranilla J
来源:Finite Fields and Their Applications, 2012, 18(6): 1148-1155.
DOI:10.1016/j.ffa.2012.07.001

摘要

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.

  • 出版日期2012-11