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 / Aguglia, A.; Cossidente, A.; Marino, G.; Pavese, F.; Siciliano, A.. - In: ADVANCES IN MATHEMATICS OF COMMUNICATIONS. - ISSN 1930-5346. - 16:1(2022), pp. 135-155. [10.3934/amc.2020105]
Orbit codes from forms on vector spaces over a finite field
Aguglia A.;Pavese F.
;
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:
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