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A class of locally recoverable codes over finite chain rings
January 10, 2024 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
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Authors
Giulia Cavicchioni, Eleonora Guerrini, Alessio Meneghetti
arXiv ID
2401.05286
Category
cs.IT: Information Theory
Cross-listed
math.AC
Citations
0
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
Locally recoverable codes deal with the task of reconstructing a lost symbol by relying on a portion of the remaining coordinates smaller than an information set. We consider the case of codes over finite chain rings, generalizing known results and bounds for codes over fields. In particular, we propose a new family of locally recoverable codes by extending a construction proposed in 2014 by Tamo and Barg, and we discuss its optimality.
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