19 citations · 23 across the 8 of their papers we have counts for
8 papers
Quantum Matrix-Product Codes: CSS-T Characterization and Maximality
Delio Jaramillo-Velez, Alessandro Neri, Adway Patra +2
CSS-T codes are quantum error-correcting codes that play an important role in fault-tolerant quantum computation, as they help mitigate the proliferation of errors. They admit a tr…
Private neighbors, perfect codes and their relation with the -number of closed neighborhood ideals
Delio Jaramillo-Velez, Hiram H. López, Rodrigo San-José
In this work, we investigate the connections between dominating sets, private neighbors, and perfect codes in graphs, and their relationships with commutative algebra. In particula…
Perfectly-Private Analog Secure Aggregation in Federated Learning
Delio Jaramillo-Velez, Charul Rajput, Ragnar Freij-Hollanti +2
In federated learning, multiple parties train models locally and share their parameters with a central server, which aggregates them to update a global model. To address the risk o…
The edge code of hypergraphs
Delio Jaramillo-Velez
Given a hypergraph , we introduce a new class of evaluation toric codes called edge codes derived from . We analyze these codes, focusing on determining t…
Connected domination in graphs and v-numbers of binomial edge ideals
Delio Jaramillo-Velez, Lisa Seccia
The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and originally motivated by problems in algebraic coding theory. In this paper we study the ca…
Relative generalized Hamming weights of evaluation codes
Delio Jaramillo-Velez, Hiram H. López, Yuriko Pitones
The aim of this work is to algebraically describe the relative generalized Hamming weights of evaluation codes. We give a lower bound for these weights in terms of a footprint boun…
Coding theory package for Macaulay2
Taylor Ball, Eduardo Camps, Henry Chimal-Dzul +7
In this Macaulay2 \cite{M2} package we define an object called {\it linear code}. We implement functions that compute basic parameters and objects associated with a linear code, su…
-thresholds and test ideals of Thom-Sebastiani type polynomials
Manuel González Villa, Delio Jaramillo-Velez, Luis Núñez-Betancourt
We provide a formula for -thresholds of a Thom-Sebastiani type polynomial over a perfect field of prime characteristic. This result extends the formula for the -pure threshol…