L Yu, SJ Lin, H Hou, Z Li - IEEE Transactions on Computers, 2023 - ieeexplore.ieee.org
Based on the Reed-Muller (RM) transform, this paper proposes a Reed-Solomon (RS) encoding/erasure decoding algorithm for any number of parities. Specifically, we first …
A Abiad, AP Khramova… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We consider the problem of deriving upper bounds on the parameters of sum-rank-metric codes, with focus on their dimension and block length. The sum-rank metric is a combination …
E Camps-Moreno, E Gorla, C Landolina… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
Sum-rank metric codes have recently attracted the attention of many researchers, due to their relevance in several applications. Mathematically, the sum-rank metric is a natural …
H Bartz, S Puchinger - arXiv preprint arXiv:2201.01339, 2022 - arxiv.org
We construct $ s $-interleaved linearized Reed--Solomon (ILRS) codes and variants and propose efficient decoding schemes that can correct errors beyond the unique decoding …
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) …
F Hörmann, H Bartz - arXiv preprint arXiv:2109.14943, 2021 - arxiv.org
Recently, codes in the sum-rank metric attracted attention due to several applications in eg multishot network coding, distributed storage and quantum-resistant cryptography. The sum …
A Abiad, AL Gavrilyuk, AP Khramova… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
A linear programming bound for sum-rank metric codes Page 1 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. X, NO. Y, MONTH YYYY 1 A linear programming bound for …
The sum-rank metric generalizes the Hamming and rank metric by partitioning vectors into blocks and defining the total weight as the sum of the rank weights of these blocks, based on …
Sum-rank metric codes are a natural extension of both linear block codes and rank-metric codes. They have several applications in information theory, including multishot network …