Abstract
In this paper we prove new results on authentication codes with perfect protection. We will prove that perfect protection for impersonation follows from perfect protection for substitution only if the source is uniform and derive a necessary and sufficient condition for codes that provide perfect protection for both types of attack. We prove a new lower bound on the probability of deception in substitution for codes with perfect protection and characterize the codes that satisfy the bound with equality.
Support for this work was provided by Australian Research Council grant A49030136.
Support for this work was provided in part by Australian Research Council grant A49030136.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
J.L. Massey, Cryptography, a selective survey, Digital Communications, ed. E. Biglieri and G. Pratti, Elsvier Science Publ., North-Holland, (1986), 3–25.
D.R. Stinson, Some constructions and bounds for authentication codes, Journal Cryptology 1, (1988), 37–51
D.R. Stinson, The combinatorics of authentication and secrecy codes, Journal Cryptology 2, (1990), 23–49
D.R. Stinson, Combinatorial characterization of authentication codes, Proceedings Crypto 91, Lecture Notes in Computer Science 576, (1992), 62–72
G.J. Simmons, Message authentication: a game on gypergraphs, Congressus Numerantium 45, (1984), 161–192
G.J. Simmons, Authentication theory/coding Theory, Proc. of Crypto '84, Lect. Notes in Comp. Science 196, (1985), 411–432
G.J. Simmons, A game theory model of digital message authentication, Congressus Numerantium 34, (1982), 413–424
E. Brickell, A Few Results in Message Authentication, Congressus Numerantium 43, (1984), 141–154
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tombak, L., Safavi-Naini, R. (1993). Authentication codes with perfect protection. In: Seberry, J., Zheng, Y. (eds) Advances in Cryptology — AUSCRYPT '92. AUSCRYPT 1992. Lecture Notes in Computer Science, vol 718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57220-1_48
Download citation
DOI: https://doi.org/10.1007/3-540-57220-1_48
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57220-6
Online ISBN: 978-3-540-47976-5
eBook Packages: Springer Book Archive