Classifying Quadratic Forms Over ℤ2 in Five Variables
Amrita Acharyya *
Department of Mathematics, University of Toledo, Toledo, OH 43606, USA.
Gerard Thompson
Department of Mathematics, University of Toledo, Toledo, OH 43606, USA.
*Author to whom correspondence should be addressed.
Abstract
Quadratic forms in ve variables over the field Z2 are classified by extending results previously obtained for four variables. It is shown that only one new form genuinely involving ve variables appears.
Keywords: Quadratic form, field of two elements.