3 papers
cs.CR2025
The covering radius of Butson Hadamard codes for the homogeneous metric
Xingxing Xu, Minjia Shi, Patrick Sole
Butson matrices are complex Hadamard matrices with entries in the complex roots of unity of given order. There is an interesting code in phase space related to this matrix (Armario…
math.CO2025
The log concavity of two graphical sequences
Minjia Shi, Lu Wang, Patrick Sole
We show that the large Cartesian powers of any graph have log-concave valencies with respect to a ffxed vertex. We show that the series of valencies of distance regular graphs is l…
cs.IT2024
Triorthogonal Codes and Self-dual Codes
Minjia Shi, Haodong Lu, Jon-Lark Kim +1
Triorthogonal matrices were introduced in Quantum Information Theory in connection with distillation of magic states (Bravyi and Haah (2012)). We give an algorithm to construct bin…