A Communication-Efficient Distributed Matrix Multiplication Scheme with Privacy, Security, and Resiliency

Autor: Tao Wang, Zhiping Shi, Juan Yang, Sha Liu

Publikováno v: Entropy, Vol 26, Iss 9, p 743 (2024)

Secure distributed matrix multiplication (SDMM) schemes are crucial for distributed learning algorithms where extensive data computation is distributed across multiple servers. Inspired by the application of repairing Reed–Solomon (RS) codes in dis

Externí odkaz: https://doaj.org/article/1411d0ef31bc453bb2d64cf5181b3a9e

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VLSI Architectures for Reed–Solomon Codes: Classic, Nested, Coupled, and Beyond

Autor: Xinmiao Zhang

Publikováno v: IEEE Open Journal of Circuits and Systems, Vol 1, Pp 157-169 (2020)

Classic Reed-Solomon (RS) codes and binary Bose-Chaudhuri-Hocquenghem (BCH) codes, which can be considered as a special case of RS codes, are utilized for error correction in numerous systems, such as Flash memories, optical communications, wireless

Externí odkaz: https://doaj.org/article/d40d4d3d5a4248519ba97748f0ae29e3

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Right-hand side decoding of Gabidulin codes and applications

Autor: Maxime Bombar, Alain Couvreur

Publikováno v: WCC 2022 : The Twelfth International Workshop on Coding and Cryptography
WCC 2022 : The Twelfth International Workshop on Coding and Cryptography, Mar 2022, Rostock, Germany
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We discuss the decoding of Gabidulin and interleaved Gabidulin codes. We give the full presentation of a decoding algorithm for Gabidulin codes, which as Loidreau's seminal algorithm consists in localizing errors in the spirit of Berlekamp-Welch algo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::624a2347ed777ad6217002495e6f5043
https://hal.science/hal-03481406