We investigate the geometry of the support of small weight codewords of dual algebraic geometric codes on smooth complete intersections by applying the powerful tools recently developed by Alain Couvreur. In particular, by restricting ourselves to the case of Hermitian codes, we recover and extend previous results obtained by the second named author joint with Marco Pellegrini and Massimiliano Sala.

On the geometry of small weight codewords of dual algebraic geometric codes / Fontanari, Claudio; Marcolla, Chiara. - In: INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS. - ISSN 1311-8080. - 98:3(2015), pp. 303-307. [10.12732/ijpam.v98i3.1]

On the geometry of small weight codewords of dual algebraic geometric codes

Fontanari, Claudio;Marcolla, Chiara
2015-01-01

Abstract

We investigate the geometry of the support of small weight codewords of dual algebraic geometric codes on smooth complete intersections by applying the powerful tools recently developed by Alain Couvreur. In particular, by restricting ourselves to the case of Hermitian codes, we recover and extend previous results obtained by the second named author joint with Marco Pellegrini and Massimiliano Sala.
2015
3
Fontanari, Claudio; Marcolla, Chiara
On the geometry of small weight codewords of dual algebraic geometric codes / Fontanari, Claudio; Marcolla, Chiara. - In: INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS. - ISSN 1311-8080. - 98:3(2015), pp. 303-307. [10.12732/ijpam.v98i3.1]
File in questo prodotto:
File Dimensione Formato  
ON THE GEOMETRY OF SMALL WEIGHT CODEWORDS.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 68.48 kB
Formato Adobe PDF
68.48 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/100521
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? ND
social impact