On the cardinality of systematic authentication codes via error-correcting codes
Johansson, Thomas LU
; Smeets, Ben
LU
and Grigory, Kabatianskii
(1996)
In IEEE Transactions on Information Theory
42(2).
p.566-578
- Abstract
- In both open and private communication the participants face potential threats from a malicious enemy who has access to the communication channel and can insert messages (impersonation attack) or alter already transmitted messages (substitution attack). Authentication codes (A-codes) have been developed to provide protection against these threats. In this paper we introduce a new distance, called the authentication distance (A-distance), and show that an A-code can be described as a code for the A-distance. The A-distance is directly related to the probability PS of success in a substitution attack. We show how to transform an error-correcting code into an A-code and vice versa. We further use these transformations to provide both upper... (More)
- In both open and private communication the participants face potential threats from a malicious enemy who has access to the communication channel and can insert messages (impersonation attack) or alter already transmitted messages (substitution attack). Authentication codes (A-codes) have been developed to provide protection against these threats. In this paper we introduce a new distance, called the authentication distance (A-distance), and show that an A-code can be described as a code for the A-distance. The A-distance is directly related to the probability PS of success in a substitution attack. We show how to transform an error-correcting code into an A-code and vice versa. We further use these transformations to provide both upper and lower bounds on the size of the information to be authenticated, and study their asymptotic behavior. As examples of obtained results, we prove that the cardinality of the source state space grows exponentially with the number of keys provided PS>PI, we generalize the square-root bound given by Gilbert, MacWilliams, and Sloane in 1979, and we provide very efficient constructions using concatenated Reed-Solomon codes. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1157119
- author
- Johansson, Thomas
LU
; Smeets, Ben
LU
and Grigory, Kabatianskii
- organization
- publishing date
- 1996
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Transactions on Information Theory
- volume
- 42
- issue
- 2
- pages
- 566 - 578
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:0030106709
- ISSN
- 0018-9448
- DOI
- 10.1109/18.485725
- language
- English
- LU publication?
- yes
- id
- 7f9fe7ef-5ebe-4b96-93b5-f35e2dea446c (old id 1157119)
- date added to LUP
- 2016-04-04 09:41:28
- date last changed
- 2024-01-27 14:52:12
@article{7f9fe7ef-5ebe-4b96-93b5-f35e2dea446c,
abstract = {{In both open and private communication the participants face potential threats from a malicious enemy who has access to the communication channel and can insert messages (impersonation attack) or alter already transmitted messages (substitution attack). Authentication codes (A-codes) have been developed to provide protection against these threats. In this paper we introduce a new distance, called the authentication distance (A-distance), and show that an A-code can be described as a code for the A-distance. The A-distance is directly related to the probability PS of success in a substitution attack. We show how to transform an error-correcting code into an A-code and vice versa. We further use these transformations to provide both upper and lower bounds on the size of the information to be authenticated, and study their asymptotic behavior. As examples of obtained results, we prove that the cardinality of the source state space grows exponentially with the number of keys provided PS>PI, we generalize the square-root bound given by Gilbert, MacWilliams, and Sloane in 1979, and we provide very efficient constructions using concatenated Reed-Solomon codes.}},
author = {{Johansson, Thomas and Smeets, Ben and Grigory, Kabatianskii}},
issn = {{0018-9448}},
language = {{eng}},
number = {{2}},
pages = {{566--578}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Information Theory}},
title = {{On the cardinality of systematic authentication codes via error-correcting codes}},
url = {{http://dx.doi.org/10.1109/18.485725}},
doi = {{10.1109/18.485725}},
volume = {{42}},
year = {{1996}},
}