3 papers
cs.DM2025
Redundancy analysis using lcm-filtrations: networks, system signature and sensitivity evaluation
Fatemeh Mohammadi, Eduardo Sáenz-de-Cabezón, Henry Wynn
We introduce the lcm-filtration and stepwise filtration, comparing their performance across various scenarios in terms of computational complexity, efficiency, and redundancy. The…
math.AC2024
Stable Coherent Systems
Rodrigo Iglesias, Fatemeh Mohammadi, Patricia Pascual-Ortigosa +2
We describe the notion of stability of coherent systems as a framework to deal with redundancy. We define stable coherent systems and show how this notion can help the design of re…
math.AC2024
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes
Manuel González-Sarabia, Humberto Muñoz-George, Jorge A. Ordaz +2
For projective Reed--Muller-type codes we give a global duality criterion in terms of the v-number and the Hilbert function of a vanishing ideal. As an application, we provide a gl…