Polynomial Equations and Rank of Matrices Over F₂ Related to Persymmetric Matrices

2009/09/02 by Jørgen Cherly, Jorgen Cherly, Cherly, Jorgen
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Matrix Theory and Algorithms #Number Theory (math.NT) #math.CO #math.NT

paper · pdf · doi:10.48550/arxiv.0909.0438

33 PAGES

arxiv created 2009/09/02 · openalex publication_date 2009/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we illustrate by some examples the connection between the number of solutions of polynomial equations satisfying degree conditions and the number of rank I matrices related to persymmetric matrices.

Related

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