Fractional Dimensional Semifield Planes

Authors

  • L. Chen
  • M. Cordero

DOI:

https://doi.org/10.1285/i15900932v32n2p57

Keywords:

Knuth Semifields, fractional dimension

Abstract

We present a family of irreducible polynomials, where all the x-divisible monomials have trace zero, and use them to show that there are semifields of order 2r, for any odd integer r in [5, 31] except 21 and 27, containing GF(4). Hence these semifields are fractional dimensional.

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Published

01-06-2013

Issue

Volume 32, Issue 2 (2012)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode