Error correcting index codes and matroids

Thomas, Anoop ; Sundar Rajan, B. (2015) Error correcting index codes and matroids In: 2015 IEEE International Symposium on Information Theory (ISIT), 14-19 June 2015, Hong Kong, China.

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Official URL: http://ieeexplore.ieee.org/document/7282611/

Related URL: http://dx.doi.org/10.1109/ISIT.2015.7282611

Abstract

The connection between index coding and matroid theory have been well studied in the recent past. El Rouayheb et al. established a connection between multi linear representation of matroids and wireless index coding. Muralidharan and Rajan showed that a vector linear solution to an index coding problem exists if and only if there exists a representable discrete polymatroid satisfying certain conditions. Recently index coding with erroneous transmission was considered by Dau et al.. Error correcting index codes in which all receivers are able to correct a fixed number of errors was studied. In this paper we consider a more general scenario in which each receiver is able to correct a desired number of errors, calling such index codes differential error correcting index codes. A link between differential error correcting index codes and certain matroids is established. We define matroidal differential error correcting index codes and we show that a scalar linear differential error correcting index code exists if and only if it is matroidal differential error correcting index code associated with a representable matroid.

Item Type:Conference or Workshop Item (Paper)
Source:Copyright of this article belongs to Institute of Electrical and Electronics Engineers.
ID Code:109971
Deposited On:08 Dec 2017 10:17
Last Modified:08 Dec 2017 10:17

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