Commutative semifields and symplectic spreads

By William M. Kantor. 2003

120 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/d8e2825e489ab2d6b591139bc9f0c6b1782a9a3d

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. John Sheekey
2. Giuseppe Marino
3. Yves Edel
4. Olga Polverino
5. Ulrich Dempwolff

In Discrete Mathematics and Combinatorics

1. John Sheekey
2. Giuseppe Marino
3. Yves Edel
4. Olga Polverino
5. Ulrich Dempwolff

In Electrical and Electronic Engineering

1. John Sheekey
2. Giuseppe Marino
3. Yves Edel
4. Olga Polverino
5. Ulrich Dempwolff

Citations in the corpus

• A new family of MRD-codes (2017, background): “The assertion follows from the fact that the families of MRD-codes arising from maximum scattered subspaces of type U1 and U2, respectively, are both closed under the adjoint operation (following the terminology of [35, 16, 25], the adjoint code of Cf is Cf̂ ).”
• Dimensional dual hyperovals and APN functions with translation groups (2014, background): “Consider in particular the pre-semifields defined in [15]: Let X = Fq , q a 2-power ≥ 4, and m odd.”
• MRD Codes: Constructions and Connections (2019, background): “Kantor [51] generalised this to a large family, which grows exponentially in the order, also in even characteristic.”