MRD-codes and various geometric objects as linearized polynomials, linear sets of PG(n −1, qn), and generalized Segre varieties. We introduce and characterize a class of particular linear MRD-codes called Fqn-linear codes with distance n −k+1proving that such codes are equivalent to (n −k+1)-embeddings of a canonical subgeometry.
MRD-codes and linear sets / Lunardon, Guglielmo. - In: JOURNAL OF COMBINATORIAL THEORY. SERIES A. - ISSN 0097-3165. - 149:(2017), pp. 1-20. [http://dx.doi.org/10.1016/j.jcta.2017.01.002]
MRD-codes and linear sets
LUNARDON, GUGLIELMO
2017
Abstract
MRD-codes and various geometric objects as linearized polynomials, linear sets of PG(n −1, qn), and generalized Segre varieties. We introduce and characterize a class of particular linear MRD-codes called Fqn-linear codes with distance n −k+1proving that such codes are equivalent to (n −k+1)-embeddings of a canonical subgeometry.File in questo prodotto:
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