Chinmayananda, A and Rajan, B Sundar (2019) Optimal Scalar Linear Index Codes for Some Two-Sender Unicast Index Coding Problems. In: Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018, 28 - 31 October 2018, Grand Copthorne WaterfrontSingapore; Singapore, pp. 105-109.
![]() |
PDF
ISITA 2018.pdf - Published Version Restricted to Registered users only Download (386kB) | Request a copy |
Abstract
In this paper, two-sender unicast index coding problem (TUICP) is studied, where the senders possibly have some messages in common, and each receiver requests a unique message. It is analyzed using three independent subproblems (which are single-sender unicast index coding problems (SUICPs)) and the interactions among them. These sub-problems are described by three disjoint vertex-induced subgraphs of the side-information graph of the TUICP respectively, based on the availability of messages at the senders. The TUICP is classified based on the type of interactions among the sub-problems. Optimal scalar linear index codes for a class of TUICP are obtained using those of the sub-problems. For two classes, we identify a sub-class for which scalar linear codes are obtained using the notion of joint extensions of SUICPs. An SUICP I-E is said to be a joint extension of l SUICPs if the fitting matrices of all the l SUICPs are disjoint submatrices of that of I-E. Joint extensions generalize the notion of rank-invariant extensions. Scalar linear codes and a condition for optimality of the codes are given for a class of joint extensions. Using this result, scalar linear codes and the conditions for their optimality are obtained for two classes of the TUICP.
Item Type: | Conference Proceedings |
---|---|
Series.: | 15th International Symposium on Information Theory and Its Applications, ISITA 2018 |
Publisher: | IEEE |
Additional Information: | 15th International Symposium on Information Theory and its Applications (ISITA), Singapore, SINGAPORE, OCT 28-31, 2018 |
Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering > Electrical Communication Engineering - Technical Reports |
Date Deposited: | 15 Jul 2019 07:01 |
Last Modified: | 15 Jul 2019 07:01 |
URI: | http://eprints.iisc.ac.in/id/eprint/62907 |
Actions (login required)
![]() |
View Item |