3 papers
cs.IT2026
Design of MDP Convolutional Codes and Maximally Recoverable Codes Through the Lens of Matrix Completion
Sakshi Dang, Julia Lieb, Pedro Soto +1
The matrix completion problem provides a unifying lens through which many fundamental problems in coding theory can be viewed. In this paper, we investigate Locally Recoverable Cod…
cs.IT2025
Optimal Secure Coded Distributed Computation over all Fields
Pedro Soto
We construct optimal secure coded distributed schemes that extend the known optimal constructions over fields of characteristic 0 to all fields. A serendipitous result is that we c…
cs.IT2024
Algebraic Geometric Rook Codes for Coded Distributed Computing
Gretchen L. Matthews, Pedro Soto
We extend coded distributed computing over finite fields to allow the number of workers to be larger than the field size. We give codes that work for fully general matrix multiplic…