Scattered subspaces and h-scattered subspaces have been extensively studied in recent decades for both theoretical purposes and their connections to various applications. While numerous constructions of scattered subspaces exist, relatively few are known about h-scattered subspaces with h≥2. In this paper, we establish the existence of maximum 2-scattered Fq-subspaces in V(r,q6) whenever r≥3, r≠5, and q is an odd power of 2. Additionally, we explore the corresponding MRD codes.
A new family of 2-scattered subspaces and related MRD codes / Bartoli, D.; Ghiandoni, F.; Giannoni, A.; Marino, G.. - In: FINITE FIELDS AND THEIR APPLICATIONS. - ISSN 1071-5797. - 103:(2025). [10.1016/j.ffa.2025.102572]
A new family of 2-scattered subspaces and related MRD codes
Giannoni A.;Marino G.
2025
Abstract
Scattered subspaces and h-scattered subspaces have been extensively studied in recent decades for both theoretical purposes and their connections to various applications. While numerous constructions of scattered subspaces exist, relatively few are known about h-scattered subspaces with h≥2. In this paper, we establish the existence of maximum 2-scattered Fq-subspaces in V(r,q6) whenever r≥3, r≠5, and q is an odd power of 2. Additionally, we explore the corresponding MRD codes.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
