The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity

Assaf Ben-Yishai; Young Han Kim; Or Ordentlich; Ofer Shayevitz

doi:10.1109/ISIT.2019.8849655

The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity

Assaf Ben-Yishai
, Young Han Kim
, Or Ordentlich
, Ofer Shayevitz

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

We define the interactive capacity of the binary symmetric channel (BSC) as the maximal rate for which any interactive protocol can be fully and reliably simulated over a pair of BSC's. We show that this quantity is at least 1/40 of the BSC Shannon capacity, uniformly for all channel crossover probabilities. Our result is based on a public-coin rewind-if-error coding scheme in the spirit of Kol & Raz 2013 [1].

Original language	English
Title of host publication	2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2868-2872
Number of pages	5
ISBN (Electronic)	9781538692912
DOIs	https://doi.org/10.1109/ISIT.2019.8849655
State	Published - Jul 2019
Externally published	Yes
Event	2019 IEEE International Symposium on Information Theory, ISIT 2019 - Paris, France Duration: 7 Jul 2019 → 12 Jul 2019

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2019-July
ISSN (Print)	2157-8095

Conference

Conference	2019 IEEE International Symposium on Information Theory, ISIT 2019
Country/Territory	France
City	Paris
Period	7/07/19 → 12/07/19

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

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10.1109/ISIT.2019.8849655

Cite this

Ben-Yishai, A., Kim, Y. H., Ordentlich, O., & Shayevitz, O. (2019). The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings (pp. 2868-2872). Article 8849655 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2019.8849655

Ben-Yishai, Assaf ; Kim, Young Han ; Ordentlich, Or et al. / The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity. 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 2868-2872 (IEEE International Symposium on Information Theory - Proceedings).

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abstract = "We define the interactive capacity of the binary symmetric channel (BSC) as the maximal rate for which any interactive protocol can be fully and reliably simulated over a pair of BSC's. We show that this quantity is at least 1/40 of the BSC Shannon capacity, uniformly for all channel crossover probabilities. Our result is based on a public-coin rewind-if-error coding scheme in the spirit of Kol \& Raz 2013 [1].",

author = "Assaf Ben-Yishai and Kim, \{Young Han\} and Or Ordentlich and Ofer Shayevitz",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE International Symposium on Information Theory, ISIT 2019 ; Conference date: 07-07-2019 Through 12-07-2019",

year = "2019",

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doi = "10.1109/ISIT.2019.8849655",

language = "אנגלית",

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Ben-Yishai, A, Kim, YH, Ordentlich, O & Shayevitz, O 2019, The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity. in 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings., 8849655, IEEE International Symposium on Information Theory - Proceedings, vol. 2019-July, Institute of Electrical and Electronics Engineers Inc., pp. 2868-2872, 2019 IEEE International Symposium on Information Theory, ISIT 2019, Paris, France, 7/07/19. https://doi.org/10.1109/ISIT.2019.8849655

The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity. / Ben-Yishai, Assaf; Kim, Young Han; Ordentlich, Or et al.
2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. p. 2868-2872 8849655 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2019-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Ben-Yishai A, Kim YH, Ordentlich O, Shayevitz O. The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity. In 2019 IEEE International Symposium on Information Theory, ISIT 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2019. p. 2868-2872. 8849655. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/ISIT.2019.8849655

The Interactive Capacity of the Binary Symmetric Channel is at Least 1/40 the Shannon Capacity

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