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Higher Hamming weights for locally recoverable codes on algebraic curves
May 19, 2015 Β· Declared Dead Β· π Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Edoardo Ballico, Chiara Marcolla
arXiv ID
1505.05041
Category
math.AC
Cross-listed
cs.IT
Citations
16
Venue
Finite Fields Their Appl.
Last Checked
3 months ago
Abstract
We study the locally recoverable codes on algebraic curves. In the first part of this article, we provide a bound of generalized Hamming weight of these codes. Whereas in the second part, we propose a new family of algebraic geometric LRC codes, that are LRC codes from Norm-Trace curve. Finally, using some properties of Hermitian codes, we improve the bounds of distance proposed in [1] for some Hermitian LRC codes. [1] A. Barg, I. Tamo, and S. Vlladut. Locally recoverable codes on algebraic curves. arXiv preprint arXiv:1501.04904, 2015.
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