Summary
The 2018 International Symposium on Information Theory and Its Applications　(ISITA2018)
2018
Session Number:Mo-PM-1-1
Session:
Number:Mo-PM-1-1.3
Index Codes for Interlinked Cycle Structures with Outer Cycles
Karanam Vikas Bharadwaj, B. Sundar Rajan,
pp.100-104
Publication Date:2018/10/18
Online ISSN:2188-5079
DOI:10.34385/proc.55.Mo-PM-1-1.3
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Summary:
For side-information graphs called Interlinked Cycle (IC) structures, which generalize cycles and cliques, Thapa, Ong and Johnson ("Interlinked Cycles for Index Coding: Generalizing Cycles and Cliques", IEEE Trans. Inf. Theory, vol. 63, no. 6, Jun. 2017 and "Interlinked Cycles for Index Coding: Generalizing Cycles and Cliques", in arxiv (arxiv:1603.00092v2 [cs.IT] 25 Feb 2018)) have given an index code construction and a decoding algorithm, for the case where the IC structure does not have any cycles consisting only of non-inner vertices (called outer cycles). In this paper, for IC structures with outer cycles, we give a set of necessary and sufficient conditions for the code construction and the decoding algorithm of Thapa, Ong and Johnson to be valid.