<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this manuscript a simple method is presented for constructing run length limited error control codes from linear binary block codes. The run length limited properties are obtained via addition of a carefully chosen fixed binary vector - a modifier to all codewords without introducing any additional redundancy. Modifier selection is based on a specific property, which can be found in some of the linear binary block codes control matrices. Similar known methods are based on properties of generator matrices. However some codes are specified via control matrices, for example low density parity check codes. The method proposed in this letter could be applied to some of them directly. This is illustrated in this manuscript using example in which a run length limited low density parity check code is obtained from Gallager code.</p></abstract>

In this manuscript a simple method is presented for constructing run length limited error control codes from linear binary block codes. The run length limited properties are obtained via addition of a carefully chosen fixed binary vector - a modifier to all codewords without introducing any additional redundancy. Modifier selection is based on a specific property, which can be found in some of the linear binary block codes control matrices. Similar known methods are based on properties of generator matrices. However some codes are specified via control matrices, for example low density parity check codes. The method proposed in this letter could be applied to some of them directly. This is illustrated in this manuscript using example in which a run length limited low density parity check code is obtained from Gallager code.

Run length limited error control codes construction based on one control matrix property

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this manuscript a simple method is presented for constructing run length limited error control codes from linear binary block codes. The run length limited...

Run length limited error control codes construction based on one control matrix property

Article Category: Communications

Published Online: Sep 13, 2017

Page range: 322 - 324

Received: Mar 03, 2017

DOI: https://doi.org/10.1515/jee-2017-0046

Keywords
run length limited error control codes, control matrix, linear block codes, modifier

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Run length limited error control codes construction based on one control matrix property

Article Category: Communications

Published Online: Sep 13, 2017

Page range: 322 - 324

Received: Mar 03, 2017

DOI: https://doi.org/10.1515/jee-2017-0046

Keywordsrun length limited error control codes, control matrix, linear block codes, modifier

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
run length limited error control codes, control matrix, linear block codes, modifier