On Self-Dual Four Circulant Codes
Minjia Shi, Hongwei Zhu, Liqin Qian, Patrick Solé · International Journal of Foundations of Computer Science · 2018
Four circulant codes form a special class of [Formula: see text]-generator, index [Formula: see text], quasi-cyclic codes. Under some conditions on their generator matrix they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert–Varshamov bound.