Exponential sums and rank of persymmetric matrices over F_2

Details Exponential sums and rank of persymmetric matrices over F_2 Exponential sums and rank of persymmetric matrices over F_2

2007-11-08

arxiv.org/abs/0711.1306v1

Mathematics

Number Theory

46 pages

Scientific paper

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).

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