Construction of m-out-of-k-Systematic t-Symmetric Error Correcting/All Unidirectional Error Detecting Codes

Kenji NAEMURA

Construction of m-out-of-k-Systematic t-Symmetric Error Correcting/All Unidirectional Error Detecting Codes

Kenji NAEMURA

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This letter considers a subclass of t-symmetric error correcting/all unidirectional error detecting (t-SyEC/AUED) codes in which the information is represented in an m-out-of-k coded form, which thus can be regarded as virtually systematic for practical purposes. For t3, previous researchers proposed methods for constructing codes of this subclass which are either optimal or of asymptotically optimal order. This letter proposes a new method for constructing, for any values of t, m and k, codes that are either optimal or of asymptotically optimal order. The redundancy of the obtained code is of the order t・log₂k bits when mt.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.9 pp.1128-1133

Publication Date: 1992/09/25

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Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)

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Kenji NAEMURA, "Construction of m-out-of-k-Systematic t-Symmetric Error Correcting/All Unidirectional Error Detecting Codes" in IEICE TRANSACTIONS on Fundamentals, vol. E75-A, no. 9, pp. 1128-1133, September 1992, doi: .
Abstract: This letter considers a subclass of t-symmetric error correcting/all unidirectional error detecting (t-SyEC/AUED) codes in which the information is represented in an m-out-of-k coded form, which thus can be regarded as virtually systematic for practical purposes. For t3, previous researchers proposed methods for constructing codes of this subclass which are either optimal or of asymptotically optimal order. This letter proposes a new method for constructing, for any values of t, m and k, codes that are either optimal or of asymptotically optimal order. The redundancy of the obtained code is of the order t・log₂k bits when mt.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_9_1128/_p

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@ARTICLE{e75-a_9_1128,
author={Kenji NAEMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Construction of m-out-of-k-Systematic t-Symmetric Error Correcting/All Unidirectional Error Detecting Codes},
year={1992},
volume={E75-A},
number={9},
pages={1128-1133},
abstract={This letter considers a subclass of t-symmetric error correcting/all unidirectional error detecting (t-SyEC/AUED) codes in which the information is represented in an m-out-of-k coded form, which thus can be regarded as virtually systematic for practical purposes. For t3, previous researchers proposed methods for constructing codes of this subclass which are either optimal or of asymptotically optimal order. This letter proposes a new method for constructing, for any values of t, m and k, codes that are either optimal or of asymptotically optimal order. The redundancy of the obtained code is of the order t・log₂k bits when mt.},
keywords={},
doi={},
ISSN={},
month={September},}

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TY - JOUR
TI - Construction of m-out-of-k-Systematic t-Symmetric Error Correcting/All Unidirectional Error Detecting Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1128
EP - 1133
AU - Kenji NAEMURA
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1992
AB - This letter considers a subclass of t-symmetric error correcting/all unidirectional error detecting (t-SyEC/AUED) codes in which the information is represented in an m-out-of-k coded form, which thus can be regarded as virtually systematic for practical purposes. For t3, previous researchers proposed methods for constructing codes of this subclass which are either optimal or of asymptotically optimal order. This letter proposes a new method for constructing, for any values of t, m and k, codes that are either optimal or of asymptotically optimal order. The redundancy of the obtained code is of the order t・log₂k bits when mt.
ER -