Asymptotic bounds are considered for unidirectional byte error-correcting codes. Upper bounds are developed from the concepts of the Singleton, Plotkin, and Hamming bounds. Lower bounds are also derived from a combination of the generalized concatenated code construction and the Varshamov-Gilbert bound. As the result, we find that there exist codes of low rate better than those on the basis of Hamming distance with respect to unidirectional byte error-correction.
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Yuichi SAITOH, Hideki IMAI, "Asymptotic Bounds for Unidirectional Byte Error-Correcting Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E76-A, no. 9, pp. 1437-1441, September 1993, doi: .
Abstract: Asymptotic bounds are considered for unidirectional byte error-correcting codes. Upper bounds are developed from the concepts of the Singleton, Plotkin, and Hamming bounds. Lower bounds are also derived from a combination of the generalized concatenated code construction and the Varshamov-Gilbert bound. As the result, we find that there exist codes of low rate better than those on the basis of Hamming distance with respect to unidirectional byte error-correction.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_9_1437/_p
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@ARTICLE{e76-a_9_1437,
author={Yuichi SAITOH, Hideki IMAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Asymptotic Bounds for Unidirectional Byte Error-Correcting Codes},
year={1993},
volume={E76-A},
number={9},
pages={1437-1441},
abstract={Asymptotic bounds are considered for unidirectional byte error-correcting codes. Upper bounds are developed from the concepts of the Singleton, Plotkin, and Hamming bounds. Lower bounds are also derived from a combination of the generalized concatenated code construction and the Varshamov-Gilbert bound. As the result, we find that there exist codes of low rate better than those on the basis of Hamming distance with respect to unidirectional byte error-correction.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Asymptotic Bounds for Unidirectional Byte Error-Correcting Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1437
EP - 1441
AU - Yuichi SAITOH
AU - Hideki IMAI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1993
AB - Asymptotic bounds are considered for unidirectional byte error-correcting codes. Upper bounds are developed from the concepts of the Singleton, Plotkin, and Hamming bounds. Lower bounds are also derived from a combination of the generalized concatenated code construction and the Varshamov-Gilbert bound. As the result, we find that there exist codes of low rate better than those on the basis of Hamming distance with respect to unidirectional byte error-correction.
ER -