3 papers
math.CO2026
Cyclotomic skew partial difference sets and partial difference families
Sophie Huczynska, Tekgül Kalaycı
Skew partial difference sets (skew PDSs) are recently-introduced combinatorial objects closely related to partial difference sets (PDSs). To date, only one construction approach fo…
math.CO2026
On Generalizations of Maiorana-McFarland and Functions
Sezel Alkan, Nurdagül Anbar, Athina Avrantini +3
We study generalizations of two classical primary constructions of Boolean bent functions, namely the Maiorana-McFarland () class and the (Desarguesian) partial spread ($\mathc…
cs.IT2025
Asymptotic performance of double and four circulant codes with small hull dimension
Zohreh Aliabadi, Tekgül Kalaycı
We study the asymptotic behavior of double and four circulant codes, which are quasi-cyclic codes of index two and four respectively. Exact enumeration results are derived for thes…