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math.CO2025
On the quantum chromatic number of Hamming and generalized Hadamard graphs
Xiwang Cao, Keqin Feng, Hexiang Huang +2
As a fundamental metric for quantifying quantum advantage in non-local games, the quantum chromatic number reveals the power of entanglement in distributed tasks. In this paper, we…
math.CO2025
Divisibility of Griesmer Codes
Haihua Deng, Hexiang Huang, Qing Xiang
In this paper, we consider Griesmer codes, namely those linear codes meeting the Griesmer bound. Let be an Griesmer code with , where is a prime and $f\g…
math.CO2025
Hegedus' Conjecture and Tighter Upper Bounds for Equidistant Codes in Hamming Spaces
Sihuang Hu, Hexiang Huang, Wei-Hsuan Yu
An equidistant code is a code in the Hamming space such that two distinct codewords have the same Hamming distance. This paper investigates the bounds for equidistant codes in Hamm…