| Autor: |
Marino, Giuseppe, Montanucci, Maria, Zullo, Ferdinando |
| Přispěvatelé: |
Marino, Giuseppe, Montanucci, Maria, Zullo, Ferdinando |
| Rok vydání: |
2020 |
| Předmět: |
|
| Zdroj: |
Marino, G, Montanucci, M & Zullo, F 2020, ' MRD-codes arising from the trinomial x q +x q 3 +cx q 5 ∈F q 6 [x] ', Linear Algebra and Its Applications, vol. 591, pp. 99-114 . https://doi.org/10.1016/j.laa.2020.01.004 |
| DOI: |
10.1016/j.laa.2020.01.004 |
| Popis: |
In [10], the existence of Fq-linear MRD-codes of Fq 6×6, with dimension 12, minimum distance 5 and left idealiser isomorphic to Fq6 , defined by a trinomial of Fq6 [x], when q is odd and q≡0,±1(mod5), has been proved. In this paper we show that this family produces Fq-linear MRD-codes of Fq 6×6, with the same properties, also in the remaining q odd cases, but not in the q even case. These MRD-codes are not equivalent to the previously known MRD-codes. We also prove that the corresponding maximum scattered Fq-linear sets of PG(1,q6) are not PΓL(2,q6)-equivalent to any previously known linear set. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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