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Index Codes for Interlinked Cycle Structures with Outer Cycles

Bharadwaj, KV and Rajan, BS (2019) Index Codes for Interlinked Cycle Structures with Outer Cycles. In: 15th International Symposium on Information Theory and Its Applications, ISITA 2018, 28 - 31 October 2018, Singapore, pp. 100-104.

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Official URL: https://doi.org/10.23919/ISITA.2018.8664244

Abstract

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.

Item Type: Conference Paper
Publication: Proceedings of 2018 International Symposium on Information Theory and Its Applications, ISITA 2018
Publisher: Institute of Electrical and Electronics Engineers Inc.
Additional Information: The copyright for this article belongs to the Authors.
Keywords: Decoding, Code construction; Cycle structures; Decoding algorithm; Index coding; Side information, Integrated circuits
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 28 Oct 2022 09:29
Last Modified: 28 Oct 2022 09:29
URI: https://eprints.iisc.ac.in/id/eprint/77703

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