vix.ing · top · new · best · stats

Exponential sums and rank of persymmetric matrices over F2

2007/11/08 by Jorgen Cherly, Cherly, Jorgen
Mathematics · #11T 23 #15 A 33 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11T #msc:15 #msc:23 #msc:33

paper · pdf · doi:10.48550/arxiv.0711.1306

46 pages

arxiv created 2007/11/08 · arxiv updated 2009/12/01

Abstract

Over the finite field with two elements, we present a method for obtaining explicit expressions for the number of rank i matrices of the form A above B, where A is persymmetric (A matrix [a(i,j)] is persymmetric if a(i,j) = a(r,s) for i+j = r+s).

Related