5 papers
Differential Goppa Codes
David González González, Ángel Luis Muñoz Castañeda, Luis Manuel Navas Vicente
Rosenbloom and Tsfasman, in their foundational work on the -metric, introduced algebraic-geometric codes defined by multiple points on a smooth projective curve . This constr…
Construction of observable and MDP convolutional codes with good decodable properties for erasure channels by I/S/O representations
Noemí DeCastro-García, Miguel V. Carriegos, Ángel Luis Muñoz Castañeda
This paper addresses the construction of observable convolutional codes that exhibit good performance with the available decoding algorithms for erasure channels. Our construction…
Decoding convolutional codes over finite rings. A linear dynamical systems approach
Ángel Luis Muñoz Castañeda, Noemí Decastro-García, Miguel V. Carriegos
Observable convolutional codes defined over Zpr with the Predictable Degree Property admit minimal input/state/output representations that preserve structural properties under scal…
Generalized parabolic structures over smooth curves with many components and principal bundles over reducible nodal curves
Ángel Luis Muñoz Castañeda
Let be smooth irreducible projective curves and let be its disjoint union. Given a semisimple reductive algebraic group and a faithful representation $ρ…
A compactification of the universal moduli space of principal G-bundles
Ángel Luis Muñoz Castañeda
We construct a compactification of the universal moduli space of semistable principal -bundles over , the fibers of which over singular curves are the…