Compound-Error-Correcting Codes and Their Augmentation
Summary :
A compound error is any combination of burst errors with various burst lengths including random errors. The compound weight of any such error is defined as a kind of combinational metric which is a generalization of Gabidulin's metric. First, we present a fast method for calculating the weight of any word. Based on this method, as an extension of Wadayama's augmenting method in the case of Hamming weight, we propose a method of constructing codes having higher coding rate by augmenting any compound-error-correcting codes. Furthermore, we show some examples of good compound-error-correcting codes obtained by using our augmenting method.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.7 pp.1813-1819
- Publication Date
- 2003/07/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Coding Theory
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Masaya FUJISAWA, Shusuke MAEDA, Shojiro SAKATA, "Compound-Error-Correcting Codes and Their Augmentation" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 7, pp. 1813-1819, July 2003, doi: .
Abstract: A compound error is any combination of burst errors with various burst lengths including random errors. The compound weight of any such error is defined as a kind of combinational metric which is a generalization of Gabidulin's metric. First, we present a fast method for calculating the weight of any word. Based on this method, as an extension of Wadayama's augmenting method in the case of Hamming weight, we propose a method of constructing codes having higher coding rate by augmenting any compound-error-correcting codes. Furthermore, we show some examples of good compound-error-correcting codes obtained by using our augmenting method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_7_1813/_p
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@ARTICLE{e86-a_7_1813,
author={Masaya FUJISAWA, Shusuke MAEDA, Shojiro SAKATA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Compound-Error-Correcting Codes and Their Augmentation},
year={2003},
volume={E86-A},
number={7},
pages={1813-1819},
abstract={A compound error is any combination of burst errors with various burst lengths including random errors. The compound weight of any such error is defined as a kind of combinational metric which is a generalization of Gabidulin's metric. First, we present a fast method for calculating the weight of any word. Based on this method, as an extension of Wadayama's augmenting method in the case of Hamming weight, we propose a method of constructing codes having higher coding rate by augmenting any compound-error-correcting codes. Furthermore, we show some examples of good compound-error-correcting codes obtained by using our augmenting method.},
keywords={},
doi={},
ISSN={},
month={July},}
Copy
TY - JOUR
TI - Compound-Error-Correcting Codes and Their Augmentation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1813
EP - 1819
AU - Masaya FUJISAWA
AU - Shusuke MAEDA
AU - Shojiro SAKATA
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2003
AB - A compound error is any combination of burst errors with various burst lengths including random errors. The compound weight of any such error is defined as a kind of combinational metric which is a generalization of Gabidulin's metric. First, we present a fast method for calculating the weight of any word. Based on this method, as an extension of Wadayama's augmenting method in the case of Hamming weight, we propose a method of constructing codes having higher coding rate by augmenting any compound-error-correcting codes. Furthermore, we show some examples of good compound-error-correcting codes obtained by using our augmenting method.
ER -
English
