Coding for the ℓ∞-limited permutation channel

Michael Langberg; Moshe Schwartz; Eitan Yaakobi

doi:10.1109/ISIT.2015.7282793

Coding for the ℓ_∞-limited permutation channel

Michael Langberg, Moshe Schwartz, Eitan Yaakobi

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

Abstract

In this work we consider the communication of information in the presence of synchronization errors. Specifically, we consider permutation channels in which a transmitted codeword x = (x₁,⋯, x_n) is corrupted by a permutation π ϵ S_n to yield the received word y = (y₁,⋯, y_n) where y_i = x_π(i). We initiate the study of worst case (or zero error) communication over permutation channels that distort the information by applying permutations π which are limited to displacing any symbol by at most r locations, i.e. permutations π with weight at most r in the ℓ_∞-metric. We present direct and recursive constructions, as well as bounds on the rate of such channels for binary and general alphabets. Specific attention is given to the case of r = 1.

Original language	English
Title of host publication	Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1936-1940
Number of pages	5
ISBN (Electronic)	9781467377041
DOIs	https://doi.org/10.1109/ISIT.2015.7282793
State	Published - 28 Sep 2015
Externally published	Yes
Event	IEEE International Symposium on Information Theory, ISIT 2015 - Hong Kong, Hong Kong Duration: 14 Jun 2015 → 19 Jun 2015

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2015-June
ISSN (Print)	2157-8095

Conference

Conference	IEEE International Symposium on Information Theory, ISIT 2015
Country/Territory	Hong Kong
City	Hong Kong
Period	14/06/15 → 19/06/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Access to Document

10.1109/ISIT.2015.7282793

Cite this

Langberg, M., Schwartz, M., & Yaakobi, E. (2015). Coding for the ℓ_∞-limited permutation channel. In Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015 (pp. 1936-1940). Article 7282793 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2015.7282793

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Langberg, M, Schwartz, M & Yaakobi, E 2015, Coding for the ℓ_∞-limited permutation channel. in Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015., 7282793, IEEE International Symposium on Information Theory - Proceedings, vol. 2015-June, Institute of Electrical and Electronics Engineers Inc., pp. 1936-1940, IEEE International Symposium on Information Theory, ISIT 2015, Hong Kong, Hong Kong, 14/06/15. https://doi.org/10.1109/ISIT.2015.7282793

Coding for the ℓ_∞-limited permutation channel. / Langberg, Michael; Schwartz, Moshe; Yaakobi, Eitan.
Proceedings - 2015 IEEE International Symposium on Information Theory, ISIT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 1936-1940 7282793 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2015-June).

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

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