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Can I read Commutative Presemifields and Semifields on EtoBox?
Commutative Presemifields and Semifields by Robert S. Coulter; Marie Henderson is a Mathematics article available to read on EtoBox.
What is Commutative Presemifields and Semifields about?
Strong conditions are derived for when two commutative presemifields are isotopic. It is then shown that any commutative presemifield of odd order can be described by a planar Dembowski-Ostrom polynomial and conversely, any planar Dembowski-Ostrom polynomial describes a commutative presemifield of odd order. These results allow a classification of all planar functions which describe presemifields isotopic to a finite field and of all planar functions which describe presemifields isotopic to Albert's commutative twisted fields. A classification of all planar Dembowski-Ostrom polynomials over any finite field of order p 3 , p an odd prime, is therefore obtained. The general theory developed in the article is then used to show the class of planar polynomials X 10 + aX 6a 2 X 2 with a = 0 describes precisely two new commutative presemifields of order 3 e for each odd e 5.
Who reads Commutative Presemifields and Semifields?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Robert S. Coulter; Marie Henderson
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)