New error correcting codes for informed receivers

Natarajan, Lakshmi Prasad and Hong, Yi and Viterbo, Emanuele (2016) New error correcting codes for informed receivers. In: IEEE International Symposium on Information Theory (ISIT), 10-15 July 2016, Barcelona, Spain.

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Abstract

We construct error correcting codes for jointly transmitting a finite set of independent messages to an informed receiver which has prior knowledge of the values of some subset of the messages as side information. The transmitter is oblivious to the message subset already known to the receiver and performs encoding in such a way that any possible side information can be used efficiently at the decoder. We construct and identify several families of algebraic error correcting codes for this problem using cyclic and maximum distance separable (MDS) codes. The proposed codes are of short block length, many of them provide optimum or near-optimum error correction capabilities and guarantee larger minimum distances than known codes of similar parameters for informed receivers. The constructed codes are also useful as error correcting codes for index coding when the transmitter does not know the side information available at the receivers.

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IITH Creators:
IITH CreatorsORCiD
Natarajan, Lakshmi Prasadhttp://orcid.org/0000-0003-1552-5240
Item Type: Conference or Workshop Item (Paper)
Subjects: Electrical Engineering
Divisions: Department of Electrical Engineering
Depositing User: Team Library
Date Deposited: 24 May 2019 10:53
Last Modified: 24 May 2019 10:53
URI: http://raiith.iith.ac.in/id/eprint/5327
Publisher URL: http://doi.org/10.1109/ISIT.2016.7541817
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