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…
math.CO2025
Nets of conics containing a double line in , even
Nour Alnajjarine, Michel Lavrauw
This paper completes the classification of nets of conics containing at least one double line in for even. This classification contributes to the classificat…
math.CO2025
Linear complete symmetric rank-distance codes
Nour Alnajjarine, Michel Lavrauw
An -linear code of minimum distance is called complete if it is not contained in a larger -linear code of minimum distance . In this paper, we cl…