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  New Constructions of Codes for Asymmetric Channels via Concatenation

Grassl, M., Shor, P. W., Smith, G., Smolin, J., & Zeng, B. (2015). New Constructions of Codes for Asymmetric Channels via Concatenation. IEEE TRANSACTIONS ON INFORMATION THEORY, 61(4), 1879-1886. doi:10.1109/TIT.2015.2401567.

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 Creators:
Grassl, Markus1, Author           
Shor, Peter W.2, Author
Smith, Graeme2, Author
Smolin, John2, Author
Zeng, Bei2, Author
Affiliations:
1Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364706              
2external, ou_persistent22              

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Free keywords: ERROR-CORRECTING CODES; FLASH MEMORIESComputer Science; Engineering; Error-correcting codes; asymmetric codes; concatenated codes; nonlinear codes; limited magnitude codes;
 Abstract: We present new constructions of codes for asymmetric channels for both binary and nonbinary alphabets, based on methods of generalized code concatenation. For the binary asymmetric channel, our methods construct nonlinear single-error-correcting codes from ternary outer codes. We show that some of the Varshamov-Tenengol'ts-Constantin-Rao codes, a class of binary nonlinear codes for this channel, have a nice structure when viewed as ternary codes. In many cases, our ternary construction yields even better codes. For the nonbinary asymmetric channel, our methods construct linear codes for many lengths and distances which are superior to the linear codes of the same length capable of correcting the same number of symmetric errors.

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Language(s): eng - English
 Dates: 2015
 Publication Status: Issued
 Pages: 8
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000351470800023
DOI: 10.1109/TIT.2015.2401567
 Degree: -

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Title: IEEE TRANSACTIONS ON INFORMATION THEORY
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA : IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Pages: - Volume / Issue: 61 (4) Sequence Number: - Start / End Page: 1879 - 1886 Identifier: ISSN: 0018-9448