3 papers
cs.IT2023
Minimal Linear Codes Constructed from partial spreads
W. Lu, X. Wu, X. W. Cao +2
Partial spread is important in finite geometry and can be used to construct linear codes. From the results in (Designs, Codes and Cryptography 90:1-15, 2022) by Xia Li, Qin Yue and…
cs.IT2023
Repair of Reed-Solomon Codes in the Presence of Erroneous Nodes
Stanislav Kruglik, Gaojun Luo, Wilton Kim +4
We consider the repair scheme of Guruswami-Wootters for the Reed-Solomon code and ask: can we correctly repair a failed node in the presence of erroneous nodes? Equivalently, we co…
math.CO2022
Fractional revival on abelian Cayley graphs
Xiwang Cao, Gaojun Luo
Fractional revival, known as a quantum transport phenomenon, is essential for entanglement generation in quantum spin networks. The concept of fractional revival is a generalizatio…