Exponential sums and rank of double persymmetric matrices over F_2

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

2007-11-13

arxiv.org/abs/0711.1937v1

Mathematics

Number Theory

160 pages

Scientific paper

We obtain, using exponential quadratic sums, explicit expressions for the
number of double persymmetric matrices with entries in F_2 of given rank. (A
matix [a(i,j)) is persymmetric if a(i,j) = a(r,s) for i+j = r+s)

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