Resolution of an Open Problem on Quasi-Cyclic Codes over ${\mathbb{Z}}_4$ and New Quaternary Linear Codes

Nuh Aydin, Aditya Tyagi

Given a cyclic code $C_g=⟨g(x)⟩$ of odd length $m$ over ${\mathbb{Z}}_4$, one common way to build a quasi-cyclic (QC) code is to pick $f_1, \dots, f_\ell \in \mathbb{…