Asymptotically good homological error correcting codes

Let $\Delta$ be an abstract simplicial complex. We study classical homological error correcting codes associated to $\Delta$, which generalize the cycle codes of simple graphs. It is well-known that cycle codes of graphs do not yield asymptotically good families of codes. We show that asymptotically...

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Bibliographic Details
Main Authors: Jason McCullough, Heather Newman
Format: Article
Language:English
Published: Yildiz Technical University 2019-09-01
Series:Journal of Algebra Combinatorics Discrete Structures and Applications
Online Access:http://jm.jacodesmath.com/index.php/jacodesmath/article/view/186