In this paper we construct different families of orbit codes in the vector spaces of the symmetric bilinear forms, quadratic forms and Hermitian forms on an n-dimensional vector space over the finite field Fq. All these codes admit the general linear group GL(n, q) as a transitive automorphism group.
Orbit codes from forms on vector spaces over a finite field
Cossidente A.;Marino G.;Pavese F.;Siciliano A.
2022-01-01
Abstract
In this paper we construct different families of orbit codes in the vector spaces of the symmetric bilinear forms, quadratic forms and Hermitian forms on an n-dimensional vector space over the finite field Fq. All these codes admit the general linear group GL(n, q) as a transitive automorphism group.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
38aaacgmfpas.pdf
solo utenti autorizzati
Licenza:
Versione editoriale
Dimensione
479.05 kB
Formato
Adobe PDF
|
479.05 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
