For a cyclic code, the BCH Bound and the Hartmann-Tzeng bound are two of well-known lower bounds for its minimum distance. New bounds are proposed by N. Boston in 2001, that depend on defining set of cyclic code. In this paper, we consider the between the Boston bound and these two bounds for non-binary cyclic codes from numerical examples.
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Junru ZHENG, Takayasu KAIDA, "On Relationship between the Boston Bound and Well-Known Bounds for Cyclic Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 10, pp. 2484-2486, October 2009, doi: 10.1587/transfun.E92.A.2484.
Abstract: For a cyclic code, the BCH Bound and the Hartmann-Tzeng bound are two of well-known lower bounds for its minimum distance. New bounds are proposed by N. Boston in 2001, that depend on defining set of cyclic code. In this paper, we consider the between the Boston bound and these two bounds for non-binary cyclic codes from numerical examples.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.2484/_p
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@ARTICLE{e92-a_10_2484,
author={Junru ZHENG, Takayasu KAIDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On Relationship between the Boston Bound and Well-Known Bounds for Cyclic Codes},
year={2009},
volume={E92-A},
number={10},
pages={2484-2486},
abstract={For a cyclic code, the BCH Bound and the Hartmann-Tzeng bound are two of well-known lower bounds for its minimum distance. New bounds are proposed by N. Boston in 2001, that depend on defining set of cyclic code. In this paper, we consider the between the Boston bound and these two bounds for non-binary cyclic codes from numerical examples.},
keywords={},
doi={10.1587/transfun.E92.A.2484},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - On Relationship between the Boston Bound and Well-Known Bounds for Cyclic Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2484
EP - 2486
AU - Junru ZHENG
AU - Takayasu KAIDA
PY - 2009
DO - 10.1587/transfun.E92.A.2484
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2009
AB - For a cyclic code, the BCH Bound and the Hartmann-Tzeng bound are two of well-known lower bounds for its minimum distance. New bounds are proposed by N. Boston in 2001, that depend on defining set of cyclic code. In this paper, we consider the between the Boston bound and these two bounds for non-binary cyclic codes from numerical examples.
ER -