4 papers
Multi-View Block Distance Distributions and Linear Programming Bounds for Locally Recoverable Codes with Availability
Ming-Hsuan Kang, Maosheng Xiong, Yu Hsuan Hsieh +1
We develop a multi-view linear-programming framework for locally recoverable codes with arbitrary fixed availability . For any retained order , the selected helpe…
Information and Locality in Cayley Graphs
Ming-Hsuan Kang, Yu-Hsuan Hsieh
A de Bruijn sequence is the cyclic prototype of a Cayley-graph observation problem: when does the ordered label word on a translated window determine the vertex ? We distin…
Universal Cycles for Affine Planes and 3-Subspaces over Finite Fields
Yu Hsuan Hsieh, Ming-Hsuan Kang
We construct universal cycles for affine planes in for all prime powers and all , using sliding windows of length three. The construction is local-to-glo…
From Characters to Matrices: An Elementary Construction of Irreducible Representations of Finite Groups
Yu Hsuan Hsieh, Ming-Hsuan Kang
Let \(G\) be a finite group and let \(χ\) be an ordinary irreducible character. We give an elementary algorithm which constructs explicit matrices affording \(χ\). The regular repr…