Resumen
We propose reducible algebraic curves as a mechanism to construct partial maximum distance separable codes geometrically. We obtain new general existence results, new explicit constructions, and improved estimates on the smallest field sizes over which such codes can exist. Our results are obtained by combining ideas from projective algebraic geometry, combinatorics, and probability theory.
Idioma original | Inglés |
---|---|
Páginas (desde-hasta) | 2946-2970 |
Número de páginas | 25 |
Publicación | SIAM Journal on Discrete Mathematics |
Volumen | 35 |
N.º | 4 |
DOI | |
Estado | Publicada - 2021 |
Publicado de forma externa | Sí |