3 papers
cs.IT2024
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…
cs.IT2023
On the hull and complementarity of one generator quasi-cyclic codes and four-circulant codes
Zohreh Aliabadi, Cem Güneri, Tekgül Kalaycı
We study one generator quasi-cyclic codes and four-circulant codes, which are also quasi-cyclic but have two generators. We state the hull dimensions for both classes of codes in t…
cs.IT2023
A note on the hull and linear complementary pair of cyclic codes
Zohreh Aliabadi, Tekgül Kalaycı
The Euclidean hull of a linear code is defined as , where denotes the dual of under the Euclidean inner product. A linear code with zero hull dim…