Scattered Spaces with Respect to a Spread in PG(n,q)

By A. Blokhuis, Michel Lavrauw. 2000

136 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/19791a37ff74d216ee77e820d02704ee39d7b828

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Yue Zhou
2. Daniele Bartoli
3. Olga Polverino
4. Giuseppe Marino
5. Michel Lavrauw
6. John Sheekey

In Discrete Mathematics and Combinatorics

1. Yue Zhou
2. Daniele Bartoli
3. Olga Polverino
4. Giuseppe Marino
5. Geertrui Van de Voorde
6. Bence Csajbók
7. Ferdinando Zullo
8. Michel Lavrauw

In Electrical and Electronic Engineering

1. Yue Zhou
2. Daniele Bartoli
3. Olga Polverino
4. Giuseppe Marino
5. Michel Lavrauw
6. John Sheekey

Citations in the corpus

• Maximum scattered linear sets and MRD-codes (2017, background): “Maximum scattered linear sets have a lot of applications in Galois Geometry, such as translation hyperovals [18], translation caps in affine spaces [2], two-intersection sets [4,5], blocking sets [1,7,30,34,41], translation spreads of the Cayley generalized hexagon [6,9,37], finite semifields (see, ”
• Field reduction and linear sets in finite geometry (2013, background): “alently every point of B(π) has weight one, then we say that πis scattered with respect to D; in this case B(π) is called a scattered linear set. The notion of scattered linear sets was introduced in [7], where the following bound on the rank of a scattered linear set was obtained. Theorem 4.2. [7, ”
• Exceptional scattered polynomials (2017, methodology): “[30] M. Lavrauw.”
• Scattered spaces with respect to spreads, and eggs in finite projective spaces : Scattered subspaces with respect to spreads, and eggs in finite projective spaces (2001, background): “1 ([18]) A scattered subspace W of rank m, with respect to a Desarguesian t-spread, in V(rt, q) induces a (θk−1(q))-fold blocking set, with respect to ( rt−m+k t − 1)dimensional subspaces in PG(r−1, q), of size θm−1(q), where 1 ≤ k ≤ m such that t | m− k.”
• MRD Codes: Constructions and Connections (2019, unknown): “Reference n f ( x ) Conditions Family [8] any x σ none DG [62] any 6,8 ηx q s + x q s + n/ 2 ( n, s ) = 1, η q n/ 2 +1 / ∈ { 0 , 1 } - [18] 6 x q + x q 3 + bx q 5 b 2 + b = 1 , q ≡ 0 , ± 1 mod 5 -”