Error-Erasure Decoding of Linearized Reed-Solomon Codes in the Sum-Rank Metric

@article{Hrmann2022ErrorErasureDO,
  title={Error-Erasure Decoding of Linearized Reed-Solomon Codes in the Sum-Rank Metric},
  author={Felicitas H{\"o}rmann and Hannes Bartz and Sven Puchinger},
  journal={2022 IEEE International Symposium on Information Theory (ISIT)},
  year={2022},
  pages={7-12}
}
Codes in the sum-rank metric have various applications in error control for multishot network coding, distributed storage and code-based cryptography. Linearized Reed-Solomon (LRS) codes contain Reed-Solomon and Gabidulin codes as subclasses and fulfill the Singleton-like bound in the sum-rank metric with equality. We propose the first known error-erasure decoder for LRS codes to unleash their full potential for multishot network coding by incorporating erasures into the known syndrome-based… 
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