Cyclone codes

Christian Schindelhauer; Andreas Jakoby; Sven Köhler

doi:10.1109/ISIT.2017.8006509

Cyclone codes

Christian Schindelhauer, Andreas Jakoby, Sven Köhler

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

2 Scopus citations

Abstract

We introduce Cyclone codes which are rateless erasure resilient codes. They combine Pair codes with Luby Transform (LT) codes by computing a code symbol from a random set of data symbols using bitwise XOR and cyclic shift operations. The number of data symbols is chosen according to the Robust Soliton distribution. XOR and cyclic shift operations establish a unitary commutative ring if data symbols have a length of p - 1 bits, for some prime number p. We consider the graph given by code symbols combining two data symbols. If n/2 such random pairs are given for n data symbols, then a giant component appears, which can be resolved in linear time. We can extend Cyclone codes to data symbols of arbitrary even length, provided the Goldbach conjecture holds. Applying results for this giant component, it follows that Cyclone codes have the same encoding and decoding time complexity as LT codes, while the overhead is upper-bounded by those of LT codes. Simulations indicate that Cyclone codes significantly decreases the overhead of extra coding symbols.

Original language	English
Title of host publication	2017 IEEE International Symposium on Information Theory, ISIT 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	156-160
Number of pages	5
ISBN (Electronic)	9781509040964
DOIs	https://doi.org/10.1109/ISIT.2017.8006509
State	Published - 9 Aug 2017
Externally published	Yes
Event	2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany Duration: 25 Jun 2017 → 30 Jun 2017

Publication series

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

Conference

Conference	2017 IEEE International Symposium on Information Theory, ISIT 2017
Country/Territory	Germany
City	Aachen
Period	25/06/17 → 30/06/17

Bibliographical note

Funding Information:
∗supported by the Sustainability Center Freiburg, supported by BW Ministry of Economics and BW Ministry of Science, Research and the Arts.

Publisher Copyright:
© 2017 IEEE.

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10.1109/ISIT.2017.8006509

Cite this

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title = "Cyclone codes",

abstract = "We introduce Cyclone codes which are rateless erasure resilient codes. They combine Pair codes with Luby Transform (LT) codes by computing a code symbol from a random set of data symbols using bitwise XOR and cyclic shift operations. The number of data symbols is chosen according to the Robust Soliton distribution. XOR and cyclic shift operations establish a unitary commutative ring if data symbols have a length of p - 1 bits, for some prime number p. We consider the graph given by code symbols combining two data symbols. If n/2 such random pairs are given for n data symbols, then a giant component appears, which can be resolved in linear time. We can extend Cyclone codes to data symbols of arbitrary even length, provided the Goldbach conjecture holds. Applying results for this giant component, it follows that Cyclone codes have the same encoding and decoding time complexity as LT codes, while the overhead is upper-bounded by those of LT codes. Simulations indicate that Cyclone codes significantly decreases the overhead of extra coding symbols.",

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Schindelhauer, C, Jakoby, A & Köhler, S 2017, Cyclone codes. in 2017 IEEE International Symposium on Information Theory, ISIT 2017., 8006509, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 156-160, 2017 IEEE International Symposium on Information Theory, ISIT 2017, Aachen, Germany, 25/06/17. https://doi.org/10.1109/ISIT.2017.8006509

Cyclone codes. / Schindelhauer, Christian; Jakoby, Andreas; Köhler, Sven.
2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 156-160 8006509 (IEEE International Symposium on Information Theory - Proceedings).

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

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Cyclone codes

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