Enumeration of some particular 2N x 9 N-times persymmetric matrices overt F_2 by rank

TL;DR

This paper provides a count of specific 2n x 9n persymmetric matrices over F_2 based on their rank, offering insights into their enumeration.

Contribution

It introduces a method to enumerate particular 2n x 9n persymmetric matrices over F_2 by their rank, which was not previously detailed.

Findings

Derived formulas for counting matrices of each rank

Extended understanding of matrix structures over F_2

Potential applications in coding theory and combinatorics

Abstract

In this paper we count the number of some particular 2n x 9 n-times rank i matrices over F_2.