ICMCTA 2017: Coding Theory and Applications pp 283-295 | Cite as

Constructions and Bounds for Batch Codes with Small Parameters

Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10495)

Abstract

Linear batch codes and codes for private information retrieval (PIR) with a query size t and a restricted size r of the reconstruction sets are studied. New bounds on the parameters of such codes are derived for small values of t or r by providing corresponding constructions. By building on the ideas of Cadambe and Mazumdar, a new bound in a recursive form is derived for batch codes and PIR codes.

Keywords

PIR codes Batch codes Private information retrieval Locally repairable codes Distributed data storage 
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Notes

Acknowledgment

The work of E. Thomas and V. Skachek is supported by the Estonian Research Council under the grants PUT405 and IUT2-1. The authors wish to thank Mart Simisker for valuable comments on the earliest version of this work.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Computer ScienceUniversity of TartuTartuEstonia

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