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Convergence Rate of Empirical Spectral Distribution of Random Matrices From Linear Codes.
- Source :
-
IEEE Transactions on Information Theory . Feb2021, Vol. 67 Issue 2, p1080-1087. 8p. - Publication Year :
- 2021
-
Abstract
- It is known that the empirical spectral distribution of random matrices obtained from linear codes of increasing length converges to the well-known Marchenko-Pastur law, if the Hamming distance of the dual codes is at least 5. In this paper, we prove that the convergence rate in probability is at least of the order $n^{-1/4}$ where $n$ is the length of the code. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 67
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 148353486
- Full Text :
- https://doi.org/10.1109/TIT.2020.3039175