IEICE TRANSACTIONS on Fundamentals
Some Upper Bounds on the Inverse Relative Dimension/Length Profile
Summary :
The generalized Hamming weight played an important role in coding theory. In the study of the wiretap channel of type II, the generalized Hamming weight was extended to a two-code format. Two equivalent concepts of the generalized Hamming weight hierarchy and its two-code format, are the inverse dimension/length profile (IDLP) and the inverse relative dimension/length profile (IRDLP), respectively. In this paper, the Singleton upper bound on the IRDLP is improved by using a quotient subcode set and a subset with respect to a generator matrix, respectively. If these new upper bounds on the IRDLP are achieved, in the corresponding coordinated two-party wire-tap channel of type II, the adversary cannot learn more from the illegitimate party.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.12 pp.3731-3737
- Publication Date
- 2008/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.12.3731
- Type of Manuscript
- Special Section PAPER (Special Section on Signal Design and its Applications in Communications)
- Category
- Coding Theory
Authors
Keyword
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Peisheng WANG, Yuan LUO, A.J. Han VINCK, "Some Upper Bounds on the Inverse Relative Dimension/Length Profile" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 12, pp. 3731-3737, December 2008, doi: 10.1093/ietfec/e91-a.12.3731.
Abstract: The generalized Hamming weight played an important role in coding theory. In the study of the wiretap channel of type II, the generalized Hamming weight was extended to a two-code format. Two equivalent concepts of the generalized Hamming weight hierarchy and its two-code format, are the inverse dimension/length profile (IDLP) and the inverse relative dimension/length profile (IRDLP), respectively. In this paper, the Singleton upper bound on the IRDLP is improved by using a quotient subcode set and a subset with respect to a generator matrix, respectively. If these new upper bounds on the IRDLP are achieved, in the corresponding coordinated two-party wire-tap channel of type II, the adversary cannot learn more from the illegitimate party.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.12.3731/_p
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@ARTICLE{e91-a_12_3731,
author={Peisheng WANG, Yuan LUO, A.J. Han VINCK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Some Upper Bounds on the Inverse Relative Dimension/Length Profile},
year={2008},
volume={E91-A},
number={12},
pages={3731-3737},
abstract={The generalized Hamming weight played an important role in coding theory. In the study of the wiretap channel of type II, the generalized Hamming weight was extended to a two-code format. Two equivalent concepts of the generalized Hamming weight hierarchy and its two-code format, are the inverse dimension/length profile (IDLP) and the inverse relative dimension/length profile (IRDLP), respectively. In this paper, the Singleton upper bound on the IRDLP is improved by using a quotient subcode set and a subset with respect to a generator matrix, respectively. If these new upper bounds on the IRDLP are achieved, in the corresponding coordinated two-party wire-tap channel of type II, the adversary cannot learn more from the illegitimate party.},
keywords={},
doi={10.1093/ietfec/e91-a.12.3731},
ISSN={1745-1337},
month={December},}
Copy
TY - JOUR
TI - Some Upper Bounds on the Inverse Relative Dimension/Length Profile
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3731
EP - 3737
AU - Peisheng WANG
AU - Yuan LUO
AU - A.J. Han VINCK
PY - 2008
DO - 10.1093/ietfec/e91-a.12.3731
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2008
AB - The generalized Hamming weight played an important role in coding theory. In the study of the wiretap channel of type II, the generalized Hamming weight was extended to a two-code format. Two equivalent concepts of the generalized Hamming weight hierarchy and its two-code format, are the inverse dimension/length profile (IDLP) and the inverse relative dimension/length profile (IRDLP), respectively. In this paper, the Singleton upper bound on the IRDLP is improved by using a quotient subcode set and a subset with respect to a generator matrix, respectively. If these new upper bounds on the IRDLP are achieved, in the corresponding coordinated two-party wire-tap channel of type II, the adversary cannot learn more from the illegitimate party.
ER -
English
