Fractional Dimensional Semifield Planes
Linlin Chen, Minerva Cordero · Università del Salento · 2012
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.