Double circulant LCD codes over Z_4

摘要

The codes in the title are studied with respect to existence, enumeration and asymptotic performance. Their Gray images are shown to satisfy a modified Gilbert-Varshamov bound. Explicit counting formulas are derived. Examples of modest lengths are given where Gray images of LCD Z(4)-codes outperform the best known binary linear LCD codes. (C) 2019 Elsevier Inc. All rights reserved.