The Complete Hierarchical Locality of the Punctured Simplex Code

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A4 Artikkeli konferenssijulkaisussa

Date

2019

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en

Pages

5

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2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), pp. 2833-2837, IEEE International Symposium on Information Theory

Abstract

This paper presents a new alphabet-dependent bound for codes with hierarchical locality. Then, the complete list of possible localities is derived for a class of codes obtained by deleting specific columns from a Simplex code. This list is used to show that these codes are optimal codes with hierarchical locality.

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REPAIRABLE CODES

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Citation

Grezet, M & Hollanti, C 2019, The Complete Hierarchical Locality of the Punctured Simplex Code . in 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) . IEEE International Symposium on Information Theory, IEEE, pp. 2833-2837, IEEE International Symposium on Information Theory, Paris, France, 07/07/2019 . https://doi.org/10.1109/ISIT.2019.8849656