On construction of a family of [22t, 3t+1, 22t-1-2t-1] binary linear codes

Abstract

<p>We searched within homogeneous quadratic bent functions in four variables and within homogeneous cubic and homogeneous quadratic bent functions in six variables for 2dimensional and 3-dimensional subspaces of bent functions, respectively. Using the t-dim bent function subspaces, we constructed binary linear codes of parameters [22t, 3t+1, 22t-1-2t1] from cosets of the first-order Reed-Muller code of length 22t for t=2, 3.</p><p>This presentation occurred at the Wright State University Campus-Wide Celebration of Research, Scholarship and Creative Activities on April 16, 2010</p>