Tilings of Constant-Weight Codes

Research Paper#Coding Theory🔬 Research|Analyzed: Jan 3, 2026 19:38
Published: Dec 28, 2025 02:56
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ArXiv

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.
Reference / Citation
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"The paper completely resolves the existence problem of $\mathrm{TOC}_{q}(n,d,w)$s for the cases $d=2$ and $d=2w$."
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ArXivDec 28, 2025 02:56
* Cited for critical analysis under Article 32.