Tilings of Constant-Weight Codes
Analysis
This paper explores the tiling problem of constant-weight codes, a fundamental topic in coding theory. It investigates partitioning the Hamming space into optimal codes, focusing on cases with odd and even distances. The paper provides construction methods and resolves the existence problem for specific distance values (d=2 and d=2w), particularly for weight three. The results contribute to the understanding of code structures and their applications.
Key Takeaways
Reference
“The paper completely resolves the existence problem of $\mathrm{TOC}_{q}(n,d,w)$s for the cases $d=2$ and $d=2w$.”