3 papers
math.CO2025
An upper bound on the size of a code with distances
Ivan Landjev, Konstantin Vorobev
Let be a binary code of length with distances . In this note we prove a general upper bound on the size of without any restriction on the distanc…
math.CO2025
A new reducibility results for minihypers in finite projective geometries
Ivan Landjev, Assia Rousseva, Konstantin Vorobev
In this paper we prove a new reducibility result for mini-hypers in projective geometries over finite fields. It is further used to characterize the minihypers with parameters (70,…
math.CO2024
New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings
Thomas Honold, Michael Kiermaier, Ivan Landjev
We present various new constructions and bounds for arcs in projective Hjelmslev planes over finite chain rings of nilpotency index 2. For the chain rings of cardinality at most 25…