2024/07/05 by Chaofeng Guan, Jingjie Lv, Guan, Chaofeng +5 · 1 citation
Computer Science · Engineering · #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Optimization and Packing Problems #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2407.04193
openalex publication_date 2024/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper aims to construct optimal quaternary additive codes with non-integer dimensions. Firstly, we propose combinatorial constructions of quaternary additive constant-weight codes, alongside additive generalized anticode construction. Subsequently, we propose generalized Construction X, which facilitates the construction of non-integer dimensional optimal additive codes from linear codes. Then, we construct ten classes of optimal quaternary non-integer dimensional additive codes through these two methods. As an application, we also determine the optimal additive [n,3.5,n-t]4 codes for all t with variable n, except for t=6,7,12.