Autor según el artículo: Bras-Amoros, Maria;

Departamento: Enginyeria Informàtica i Matemàtiques

e-ISSN: 2073-8994

Autor/es de la URV: Bras Amoros, Maria

Palabras clave: Wire-tap channel Weierstrass semigroup Semigroup ideal Numerical semigroup Number Minimum distance Hierarchy Generalized hamming weights Feng-rao distance Error-correcting code Bounds Algebraic-geometry code

Resumen: Several results relating additive ideals of numerical semigroups and algebraic-geometry codes are presented. In particular, we deal with the set of non-redundant parity-checks, the code length, the generalized Hamming weights, and the isometry-dual sequences of algebraic-geometry codes from the perspective of the related Weierstrass semigroups. These results are related to cryptographic problems such as the wire-tap channel, t-resilient functions, list-decoding, network coding, and ramp secret sharing schemes.

Áreas temáticas: Visual arts and performing arts Physics and astronomy (miscellaneous) Multidisciplinary sciences Modeling and simulation Mathematics, interdisciplinary applications Mathematics (miscellaneous) Mathematics (all) Matemática / probabilidade e estatística General mathematics Engineering (miscellaneous) Computer science (miscellaneous) Ciência da computação Chemistry (miscellaneous) Arts and humanities (miscellaneous) Architecture Applied mathematics

Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 20738994

Direcció de correo del autor: maria.bras@urv.cat

Identificador del autor: 0000-0002-3481-004X

Fecha de alta del registro: 2023-07-31

Volumen de revista: 11

Versión del articulo depositado: info:eu-repo/semantics/publishedVersion

Enlace a la fuente original: https://www.mdpi.com/2073-8994/11/11/1406

URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/

Referencia al articulo segun fuente origial: Symmetry-Basel. 11 (11):

Referencia de l'ítem segons les normes APA: Bras-Amoros, Maria; (2019). Ideals of Numerical Semigroups and Error-Correcting Codes. Symmetry-Basel, 11(11), -. DOI: 10.3390/sym11111406

DOI del artículo: 10.3390/sym11111406

Entidad: Universitat Rovira i Virgili

Año de publicación de la revista: 2019

Tipo de publicación: Journal Publications