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The Error Probability of Generalized Perfect Codes

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URI: https://hdl.handle.net/10016/28844
ISBN: 978-1-5386-4781-3
DOI: https://doi.org/10.1109/ISIT.2018.8437752
UXXI: CC/0000029963
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error_ISIT_2018_ps.pdf (291.78 KB)
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2018-08-16
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IEEE
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We introduce a definition of perfect and quasi-perfect codes for symmetric channels parametrized by an auxiliary output distribution. This new definition generalizes previous definitions and encompasses maximum distance separable codes. The error probability of these codes, whenever they exist, is shown to attain the meta-converse lower bound.
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This paper has been presented at : IEEE International Symposium on Information Theory 2018
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Vazquez- Vilar, G., Guillén i Fàbregas, A. y Verdú, S. (2018). The Error Probability of Generalized Perfect Codes. In 2018 IEEE International Symposium on Information Theory (ISIT).
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