English

Exponential sums and rank of persymmetric matrices over F_2

Number Theory 2007-11-09 v1

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).

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Cite

@article{arxiv.0711.1306,
  title  = {Exponential sums and rank of persymmetric matrices over F_2},
  author = {Jorgen Cherly},
  journal= {arXiv preprint arXiv:0711.1306},
  year   = {2007}
}

Comments

46 pages