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Yun-Hsuan Hsieh

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Preprint Sep 2026

Multi-View Block Distance Distributions and Linear Programming Bounds for Locally Recoverable Codes with Availability

We develop a multi-view linear-programming framework for locally recoverable codes with arbitrary fixed availability $a$. For any retained order $1 \le s \le a$, the selected helper sets, the recovered coordinate, and their complement form an $(s+2)$-part partition. Recording the Hamming distance on all blocks preserve...

Ming-Hsuan Kang, Mao-Sheng Xiong, Yun-Hsuan Hsieh et al. · 0 citations

Preprint Aug 2026

Information and Locality in Cayley Graphs

For generalized dihedral groups, for even prime powers $\ell$, the sharp baseline $\operatorname{sep}_\ell=d+1$ and construct connected zig-zag windows, while the order-$14$ Heawood torus satisfies $\operatorname{sep}_4=2$ and $\operatorname{csep}_4=4$.

Ming-Hsuan Kang, Yun-Hsuan Hsieh · 0 citations