3 papers
cs.IT2025
Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
Simeon Ball, Michel Lavrauw, Tabriz Popatia
In this article we prove Griesmer type bounds for additive codes over finite fields. These new bounds give upper bounds on the length of maximum distance separable (MDS) codes, cod…
cs.IT2025
Additive codes from linear codes
Simeon Ball, Tabriz Popatia
We introduce two constructions of additive codes over finite fields. Both constructions start with a linear code over a field with elements and give additive codes over the fie…
math.CO2024
Ovoids in the cyclic presentation of PG(3,q)
Kanat Abdukhalikov, Simeon Ball, Duy Ho +1
We consider the cyclic presentation of whose points are in the finite field and describe the known ovoids therein. We revisit the set , co…