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cs.IT2022
Linearized Reed-Solomon Codes with Support-Constrained Generator Matrix and Applications in Multi-Source Network Coding
Hedongliang Liu, Hengjia Wei, Antonia Wachter-Zeh +1
Linearized Reed-Solomon (LRS) codes are evaluation codes based on skew polynomials. They achieve the Singleton bound in the sum-rank metric and therefore are known as maximum sum-r…
cs.IT2022
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…