On the number of optimal index codes

Kavitha, R. ; Sundar Rajan, B. (2015) On the number of optimal index codes In: 2015 IEEE International Symposium on Information Theory (ISIT), 14-19 June 2015, Hong Kong, China.

Full text not available from this repository.

Official URL: http://ieeexplore.ieee.org/document/7282614/

Related URL: http://dx.doi.org/10.1109/ISIT.2015.7282614


In Index coding there is a single sender with multiple messages and multiple receivers each wanting a different set of messages and knowing a different set of messages a priori. The Index Coding problem is to identify the minimum number of transmissions (optimal length) to be made so that all receivers can decode their wanted messages using the transmitted symbols and their respective prior information and also the codes with optimal length. Recently in [6], it is shown that different optimal length codes perform differently in a wireless channel. Towards identifying the best optimal length index code one needs to know the number of optimal length index codes. In this paper we present results on the number of optimal length index codes making use of the representation of an index coding problem by an equivalent network code. We give the minimum number of codes possible with the optimal length. This is done using a simpler algebraic formulation of the problem compared to the approach of Koetter and Medard [4].

Item Type:Conference or Workshop Item (Paper)
Source:Copyright of this article belongs to Institute of Electrical and Electronics Engineers.
ID Code:109999
Deposited On:08 Dec 2017 10:17
Last Modified:08 Dec 2017 10:17

Repository Staff Only: item control page