4 papers
On the Goppa morphism
Ãngel Luis Muñoz Castañeda
We study the Goppa construction of linear codes from algebraic curves as a morphism of moduli stacks. For integers with and , let $\mathfrak{LS}_{g,n,d…
Differential Goppa Codes
David González González, Ãngel 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…
Decoding convolutional codes over finite rings. A linear dynamical systems approach
Ãngel Luis Muñoz Castañeda, Noemà Decastro-GarcÃa, 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…
Construction of observable and MDP convolutional codes with good decodable properties for erasure channels by I/S/O representations
Noemà DeCastro-GarcÃa, Miguel V. Carriegos, Ãngel 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…