5 citations · 6 across the 7 of their papers we have counts for
9 papers
Perfect Codes Correcting a Single Burst of Limited-Magnitude Errors
Hengjia Wei, Moshe Schwartz
Motivated by applications to DNA-storage, flash memory, and magnetic recording, we study perfect burst-correcting codes for the limited-magnitude error channel. These codes are lat…
Sequence Reconstruction for Limited-Magnitude Errors
Hengjia Wei, Moshe Schwartz
Motivated by applications to DNA storage, we study reconstruction and list-reconstruction schemes for integer vectors that suffer from limited-magnitude errors. We characterize the…
On the Generalized Covering Radii of Reed-Muller Codes
Dor Elimelech, Hengjia Wei, Moshe Schwartz
We study generalized covering radii, a fundamental property of linear codes that characterizes the trade-off between storage, latency, and access in linear data-query protocols suc…
On the Gap between Scalar and Vector Solutions of Generalized Combination Networks
Hedongliang Liu, Hengjia Wei, Sven Puchinger +2
We study scalar-linear and vector-linear solutions of the generalized combination network. We derive new upper and lower bounds on the maximum number of nodes in the middle layer,…
On Tilings of Asymmetric Limited-Magnitude Balls
Hengjia Wei, Moshe Schwartz
We study whether an asymmetric limited-magnitude ball may tile . This ball generalizes previously studied shapes: crosses, semi-crosses, and quasi-crosses. Such tilin…
On Lattice Packings and Coverings of Asymmetric Limited-Magnitude Balls
Hengjia Wei, Xin Wang, Moshe Schwartz
We construct integer error-correcting codes and covering codes for the limited-magnitude error channel with more than one error. The codes are lattices that pack or cover the space…