6 papers
Random Reed--Solomon Codes Correcting Permutations, Insertions, and Deletions over Polynomial-Size Alphabets
Yijun Zhang, Yubo Sun, Xiande Zhang +1
We study Reed--Solomon codes against adversarial coordinate permutations followed by insertion-deletion (insdel) errors. It was previously shown by Con (2025) that Reed--Solomon co…
A five-qubit 1-resistant graph state and stabilizer marginal certificates
Zicheng Han, Wanchen Zhang, Xiande Zhang
We study particle-loss resistant entanglement within the framework of stabilizer and graph states. A pure state is \(m\)-resistant if it remains entangled after the loss of any \(m…
An Explicit Scott-Type Bound for Absolutely Maximally Entangled States with Arbitrary Defect
Shixuan Zeng, Xiande Zhang
Absolutely maximally entangled (AME) states and, more generally, -uniform states in $(\C^q)^{\otimes n}$ are central objects in multipartite entanglement theory, with applicatio…
The Hilton-Milner type results of -sum-free sets in
Xin Wei, Xiande Zhang, Gennian Ge
For a prime , it is well known that the largest sum-free subsets of have size , and the extremal sets must be a cuboid o…
Optimal redundancy of function-correcting codes
Gennian Ge, Zixiang Xu, Xiande Zhang +1
Function-correcting codes, introduced by Lenz, Bitar, Wachter-Zeh, and Yaakobi, protect specific function values of a message rather than the entire message. A central challenge is…
On set systems with strongly restricted intersections
Xin Wei, Xiande Zhang, Gennian Ge
Set systems with strongly restricted intersections, called -intersecting families for a vector , were introduced recently as a generalization of several well-studied inters…