Results about persymmetric matrices over F_2 and related exponential sums
Jorgen Cherly
TL;DR
This paper investigates the rank properties of persymmetric matrices over the finite field F_2 and explores their connection to exponential sums, providing new insights into their structure and behavior.
Contribution
It presents novel results on the rank problems of persymmetric matrices over F_2 and their relation to exponential sums, advancing understanding in this area.
Findings
New rank characterizations of persymmetric matrices over F_2
Connections established between matrix ranks and exponential sums
Enhanced understanding of exponential sum behaviors in finite fields
Abstract
In this paper we expose our main results about rank problems concerning persymmetric matrices over F_2 associated to some exponential sums.
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Taxonomy
Topicsgraph theory and CDMA systems · Matrix Theory and Algorithms · Advanced Topics in Algebra