26 citations · 96 across the 41 of their papers we have counts for
4 papers · 1 filter
On the nonexistence of certain orthogonal arrays of strength four
Rebeka Kiss, Gábor P. Nagy
We show that no orthogonal arrays exist with and . This solves an open problem of the NSUCRYPTO Olympiad 2018. Our result allows us to determine the…
Embeddings of Ree unitals in a projective plane over a field
Gábor P. Nagy
We show that the Ree unital has an embedding in a projective plane over a field if and only if and is a subfield of . In this case, the…
New Steiner systems from old ones by paramodifications
Dávid Mezőfi, Gábor P. Nagy
Techniques of producing new combinatorial structures from old ones are commonly called trades. The switching principle applies for a broad class of designs: it is a local transform…
Estimating The Dimension Of The Subfield Subcodes of Hermitian Codes
Sabira El Khalfaoui, Gábor P. Nagy
In this paper, we study the behavior of the true dimension of the subfield subcodes of Hermitian codes. Our motivation is to use these classes of linear codes to improve the parame…