1 citations · 1 across the 3 of their papers we have counts for
5 papers
The Golomb--Welch conjecture for arbitrary centre sets
Bocong Chen, Jing Huang, Gaojun Luo
We prove that for all and , the Lee ball does not tile by translations, resolving the Golomb--Welch conjecture for arbitrary centre sets and completi…
The Golomb--Welch conjecture for lattice tilings
Bocong Chen, Jing Huang, Gaojun Luo
We prove the Golomb--Welch conjecture for lattice tilings: for every and , the integer lattice admits no lattice tiling by Lee balls of radius . T…
Bounds and Constructions of Quantum Locally Recoverable Codes from Quantum CSS Codes
Gaojun Luo, Bocong Chen, Martianus Frederic Ezerman +1
Classical locally recoverable codes (LRCs) have become indispensable in distributed storage systems. They provide efficient recovery in terms of localized errors. Quantum LRCs have…
On non-expandable cross-bifix-free codes
Chunyan Qin, Bocong Chen, Gaojun Luo
A cross-bifix-free code of length over is defined as a non-empty subset of satisfying that the prefix set of each codeword is disjoint from the…
Sharp Uncertainty Principle for Transitive -Sets over Arbitrary Fields and Finite Groups
Bocong Chen, Yun Fan, Gaojun Luo
For any finite group , any transitive -set and any field , we consider the vector space of all functions from to , which is a -spa…