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A Construction of Maximally Recoverable Codes With Order-Optimal Field Size.

Authors :
Cai, Han
Miao, Ying
Schwartz, Moshe
Tang, Xiaohu
Source :
IEEE Transactions on Information Theory; Jan2022, Vol. 68 Issue 1, p204-212, 9p
Publication Year :
2022

Abstract

We construct maximally recoverable codes (corresponding to partial MDS codes) which are based on linearized Reed-Solomon codes. The new codes have a smaller field size requirement compared with known constructions. For certain asymptotic regimes, the constructed codes have order-optimal alphabet size, asymptotically matching the known lower bound. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00189448
Volume :
68
Issue :
1
Database :
Complementary Index
Journal :
IEEE Transactions on Information Theory
Publication Type :
Academic Journal
Accession number :
154265882
Full Text :
https://doi.org/10.1109/TIT.2021.3120016