Exponential sums and rank of double persymmetric matrices over F₂

2007/11/13 by Jørgen Cherly, Jorgen Cherly, Cherly, Jorgen
Computer Science · Engineering · Mathematics · #11 T 23 #15 A 33 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Number Theory (math.NT) #graph theory and CDMA systems #math.NT #msc:11 #msc:15 #msc:23 #msc:33

paper · pdf · doi:10.48550/arxiv.0711.1937

160 pages

arxiv created 2007/11/13 · openalex publication_date 2007/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain, using exponential quadratic sums, explicit expressions for the number of double persymmetric matrices with entries in F₂ of given rank. (A matix [a(i,j)) is persymmetric if a(i,j) = a(r,s) for i+j = r+s)

Related

• Exponential sums and rank of triple persymmetric matrices over F₂
• Exponential sums and rank of persymmetric matrices over F₂
• Results about persymmetric matrices over F₂ and related exponential sums
• Enumeration of some particular quadruple persymmetric matrices over F₂ by rank
• Enumeration of some particular quintuple persymmetric matrices over F₂ by rank