6 papers
Subspace coverings and generalized covering radii of generalized Zetterberg codes
Shitao Li, Yang Li, Gaojun Luo +1
Generalized covering radii measure how many columns of a parity-check matrix are needed to generate several syndromes simultaneously. Their finite-geometric counterparts are $(ρ,t)…
On the exact quantum chromatic number of generalized Johnson graphs
Gaojun Luo, Xiwang Cao, Shitao Li +1
The quantum chromatic number is a fundamental parameter in the study of nonlocal games, capturing the extent to which entanglement can improve performance in distributed tasks. In…
Generalized Extended Codes with Applications in Entanglement-Assisted Qubit and Qutrit Codes
Yang Li, Martianus Frederic Ezerman, Shitao Li +2
We prove that any generalized extended code is monomially equivalent to the Hermitian dual of a code which is closely related to a second kind of extended code of $\C^{\perp_{\rm H…
Improved bounds and optimal constructions of pure quantum locally recoverable codes
Yang Li, Shitao Li, Gaojun Luo +1
By incorporating the concept of locality into quantum information theory, quantum locally recoverable codes (qLRCs) have been proposed, motivated by their potential applications in…
On optimal quantum LRCs from the Hermitian construction and -designs
Yang Li, Shitao Li, Huimin Lao +2
In a recent work, quantum locally recoverable codes (qLRCs) have been introduced for their potential application in large-scale quantum data storage and implication for quantum LDP…
Symplectic self-orthogonal and LCD codes from the Plotkin sum construction
Shixin Zhu, Yang Li, Shitao Li
In this work, we propose two criteria for linear codes obtained from the Plotkin sum construction being symplectic self-orthogonal (SO) and linear complementary dual (LCD). As spec…