In this paper we introduce symplectic Grassmann codes, in analogy to ordinary Grassmann codes and orthogonal Grassmann codes, as projective codes defined by symplectic Grassmannians. Lagrangian–Grassmannian codes are a special class of symplectic Grassmann codes. We describe all the parameters of line symplectic Grassmann codes and we provide the full weight enumerator for the Lagrangian–Grassmannian codes of rank 2 and 3.

Minimum distance of symplectic Grassmann codes

GIUZZI, Luca
2016-01-01

Abstract

In this paper we introduce symplectic Grassmann codes, in analogy to ordinary Grassmann codes and orthogonal Grassmann codes, as projective codes defined by symplectic Grassmannians. Lagrangian–Grassmannian codes are a special class of symplectic Grassmann codes. We describe all the parameters of line symplectic Grassmann codes and we provide the full weight enumerator for the Lagrangian–Grassmannian codes of rank 2 and 3.
File in questo prodotto:
File Dimensione Formato  
LagrangianCodes-sub-revised2.pdf

accesso aperto

Descrizione: Versione in post-print
Tipologia: Documento in Post-print
Licenza: DRM non definito
Dimensione 213.52 kB
Formato Adobe PDF
213.52 kB Adobe PDF Visualizza/Apri
Minimum.pdf

accesso aperto

Tipologia: Full Text
Licenza: DRM non definito
Dimensione 308.2 kB
Formato Adobe PDF
308.2 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/11379/462142
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 6
social impact