3 papers
math.AG2026
(Equivariant) Cohomology of Homogeneous Spaces Associated with Composition Algebras
Mahir Bilen Can, Ana Casimiro, Ferruh Ãzbudak
We study homogeneous spaces arising from embeddings of associative composition algebras of dimensions 2 and 4, with particular emphasis on the Hamiltonian quaternion algebra. For i…
cs.IT2026
New bounds on the covering radius of orthogonal arrays of even strength
Peter Boyvalenkov, Ferruh Ozbudak, Maya Stoyanova
We obtain new linear programming (LP) and constructive bounds for the covering radius of binary orthogonal arrays of strength . Our LP bounds develop in two alternative scenari…
cs.IT2024
Using multi-orbit cyclic subspace codes for constructing optical orthogonal codes
Ferruh Ozbudak, Paolo Santonastaso, Ferdinando Zullo
We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensi…