IEICE TRANSACTIONS on Fundamentals
A Generalization of the Parallel Error Correcting Codes by Allowing Some Random Errors
Summary :
This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive some bounds about the size of respective parallel error correcting codes. The obtained results imply a single parallel error correcting code can be constructed by two or more kinds of error correcting codes with distinct error correcting capabilities.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.9 pp.1745-1753
- Publication Date
- 2007/09/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e90-a.9.1745
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
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Hideki YAGI, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, "A Generalization of the Parallel Error Correcting Codes by Allowing Some Random Errors" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 9, pp. 1745-1753, September 2007, doi: 10.1093/ietfec/e90-a.9.1745.
Abstract: This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive some bounds about the size of respective parallel error correcting codes. The obtained results imply a single parallel error correcting code can be constructed by two or more kinds of error correcting codes with distinct error correcting capabilities.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.9.1745/_p
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@ARTICLE{e90-a_9_1745,
author={Hideki YAGI, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Generalization of the Parallel Error Correcting Codes by Allowing Some Random Errors},
year={2007},
volume={E90-A},
number={9},
pages={1745-1753},
abstract={This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive some bounds about the size of respective parallel error correcting codes. The obtained results imply a single parallel error correcting code can be constructed by two or more kinds of error correcting codes with distinct error correcting capabilities.},
keywords={},
doi={10.1093/ietfec/e90-a.9.1745},
ISSN={1745-1337},
month={September},}
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TY - JOUR
TI - A Generalization of the Parallel Error Correcting Codes by Allowing Some Random Errors
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1745
EP - 1753
AU - Hideki YAGI
AU - Toshiyasu MATSUSHIMA
AU - Shigeichi HIRASAWA
PY - 2007
DO - 10.1093/ietfec/e90-a.9.1745
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2007
AB - This paper generalizes parallel error correcting codes proposed by Ahlswede et al. over a new type of multiple access channel called parallel error channel. The generalized parallel error correcting codes can handle with more errors compared with the original ones. We show construction methods of independent and non-independent parallel error correcting codes and decoding methods. We derive some bounds about the size of respective parallel error correcting codes. The obtained results imply a single parallel error correcting code can be constructed by two or more kinds of error correcting codes with distinct error correcting capabilities.
ER -
English
