We investigate subspace codes whose codewords are subspaces of P G(4, q) having non-constant dimension. In particular, examples of optimal mixed-dimension subspace codes are provided, showing that A q (5, 3 ) = 2 (q3 + 1).

Optimal subspace codes in PG(4, q) / Cossidente, Antonio; Pavese, Francesco; Storme, Leo. - In: ADVANCES IN MATHEMATICS OF COMMUNICATIONS. - ISSN 1930-5346. - STAMPA. - 13:3(2019), pp. 393-404. [10.3934/amc.2019025]

Optimal subspace codes in PG(4, q)

Francesco Pavese
;
2019-01-01

Abstract

We investigate subspace codes whose codewords are subspaces of P G(4, q) having non-constant dimension. In particular, examples of optimal mixed-dimension subspace codes are provided, showing that A q (5, 3 ) = 2 (q3 + 1).
2019
Optimal subspace codes in PG(4, q) / Cossidente, Antonio; Pavese, Francesco; Storme, Leo. - In: ADVANCES IN MATHEMATICS OF COMMUNICATIONS. - ISSN 1930-5346. - STAMPA. - 13:3(2019), pp. 393-404. [10.3934/amc.2019025]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/176889
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