Generalization of the Fano and Non-Fano Index Coding Instances
Matroid theory is fundamentally connected with index coding and network coding problems.
In fact, the reliance of linear index coding and network coding rates on the characteristic of a …
In fact, the reliance of linear index coding and network coding rates on the characteristic of a …
On strongly α-topological vector spaces
HZ Ibrahim - Journal of Interdisciplinary Mathematics, 2022 - Taylor & Francis
This paper is devoted to introduce a new kind of topological vector spaces called strongly α-
topological vector space and study their relationship with other types of topological vector …
topological vector space and study their relationship with other types of topological vector …
Access structures for finding characteristic-dependent linear rank inequalities
V Peña-Macias - Kybernetika, 2023 - dml.cz
Determining information ratios of access structures is an important problem in secret
sharing. Information inequalities and linear rank inequalities play an important role for …
sharing. Information inequalities and linear rank inequalities play an important role for …
How to Find New Characteristic-Dependent Linear Rank Inequalities using Secret Sharing
V Peña-Macias - arXiv preprint arXiv:2111.00120, 2021 - arxiv.org
Determining information ratios of access structures is an important problem in secret
sharing. Information inequalities and linear rank inequalities play an important role for …
sharing. Information inequalities and linear rank inequalities play an important role for …
New characteristic dependent linear rank inequalities
VB Peña Macias - repositorio.unal.edu.co
In this work, we develop some methods for producing characteristic-dependent linear rank
inequalities and show some applications to Network Coding and Secrets Sharing. We …
inequalities and show some applications to Network Coding and Secrets Sharing. We …