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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…
Covering Properties of Sum-Rank Metric Codes
Cornelia Ott, Hedongliang Liu, Antonia Wachter-Zeh
The sum-rank metric can be seen as a generalization of both, the rank and the Hamming metric. It is well known that sum-rank metric codes outperform rank metric codes in terms of t…
Interleaved Prange: A New Generic Decoder for Interleaved Codes
Anmoal Porwal, Lukas Holzbaur, Hedongliang Liu +3
Due to the recent challenges in post-quantum cryptography, several new approaches for code-based cryptography have been proposed. For example, a variant of the McEliece cryptosyste…
Rank-Metric Codes and Their Applications
Hannes Bartz, Lukas Holzbaur, Hedongliang Liu +3
The rank metric measures the distance between two matrices by the rank of their difference. Codes designed for the rank metric have attracted considerable attention in recent years…
List Decoding of 2-Interleaved Binary Alternant Codes
Chih-Chiang Huang, Hedongliang Liu, Lukas Holzbaur +2
This paper is concerned with list decoding of -interleaved binary alternant codes. The principle of the proposed algorithm is based on a combination of a list decoding algorithm…