Author, as appears in the article.: Bras-Amoros, Maria;
Department: Enginyeria Informàtica i Matemàtiques
e-ISSN: 2073-8994
URV's Author/s: Bras Amoros, Maria
Keywords: 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
Abstract: 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.
Thematic Areas: 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
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 20738994
Author's mail: maria.bras@urv.cat
Author identifier: 0000-0002-3481-004X
Record's date: 2023-07-31
Journal volume: 11
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://www.mdpi.com/2073-8994/11/11/1406
Papper original source: Symmetry-Basel. 11 (11):
APA: Bras-Amoros, Maria; (2019). Ideals of Numerical Semigroups and Error-Correcting Codes. Symmetry-Basel, 11(11), -. DOI: 10.3390/sym11111406
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Article's DOI: 10.3390/sym11111406
Entity: Universitat Rovira i Virgili
Journal publication year: 2019
Publication Type: Journal Publications
Repositori URV