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Representations by Hermitian Forms in a Finite Field of Characteristic Two

Published online by Cambridge University Press:  20 November 2018

John D. Fulton
John D. Fulton*
Affiliation:
Clemson University, Clernson, South Carolina
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Abstract

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Throughout this paper, we let q = 2W,﹜ w a positive integer, and for u = 1 or 2, we let GF(qu) denote the finite field of cardinality qu. Let - denote the involutory field automorphism of GF(q2) with GF(q) as fixed subfield, where ā = aQ for all a in GF﹛q2). Moreover, let | | denote the norm (multiplicative group homomorphism) mapping of GF(q2) onto GF(q), where |a| — a • ā = aQ+1.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 169 - 179
Copyright
Copyright © Canadian Mathematical Society 1977

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