Abstract
Exposing a secret-key is one of the most disastrous threats in cryptographic protocols. The key-insulated security is proposed with the aim of realizing the protection against such key-exposure problems. In this paper, we study key-insulated authentication schemes with information-theoretic security. More specifically, we focus on one of information-theoretically secure authentication, called multireceiver authentication codes, and we newly define a model and security notions of information-theoretically secure key-insulated multireceiver authentication codes (KI-MRA for short) based on the ideas of both computationally secure key-insulated signature schemes and multireceiver authentication-codes with information-theoretic setting. In addition, we show lower bounds of sizes of entities’ secret-keys. We also provide two kinds of constructions of KI-MRA: direct and generic constructions which are provably secure in our security definitions. It is shown that the direct construction meets the lower bounds of key-sizes with equality. Therefore, it turns out that our lower bounds are tight, and that the direct construction is optimal.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anderson, R.: Two remarks on public key cryptology. In: ACM CCCS (1997) (invited Lecture), http://www.cl.cam.ac.uk/users/rja14/
Bellare, M., Miner, S.K.: A Forward-Secure Digital Signature Scheme. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 431–448. Springer, Heidelberg (1999)
Canetti, R., Goldwasser, S.: An efficient threshold public-key cryptosystem secure against adaptive chosen-ciphertext attack. In: Stern, J. (ed.) EUROCRYPT 1999. LNCS, vol. 1592, pp. 90–106. Springer, Heidelberg (1999)
Canneti, R., Halevi, S., Katz, J.: A forward secure public key encryption scheme. J. Cryptology 20(3), 265–294 (2007)
Desmedt, Y., Frankel, Y.: Threshold cryptosystems. In: Brassard, G. (ed.) CRYPTO 1989. LNCS, vol. 435, pp. 307–315. Springer, Heidelberg (1990)
Desmedt, Y., Frankel, Y., Yung, M.: Multi-receiver/Multi-sender network security: efficient authenticated multicast/feedback. In: Proc. of IEEE Inforcom 1992, pp. 2045–2054 (1992)
Dodis, Y., Katz, J., Xu, S., Yung, M.: Key-Insulated Public-Key Cryptosystems. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 65–82. Springer, Heidelberg (2002)
Dodis, Y., Katz, J., Xu, S., Yung, M.: Strong Key-Insulated Signature Schemes. In: Desmedt, Y.G. (ed.) PKC 2003. LNCS, vol. 2567, pp. 130–144. Springer, Heidelberg (2002)
Erdös, P., Frankl, P., Furedi, Z.: Families of finite sets in which no sets is covered by the union of r others. Israel Journal of Mathematics 51, 79–89 (1985)
Gilbert, E.N., MacWilliams, F.J., Sloane, N.J.A.: Codes which detect deception. Bell System Technical Journal 53, 405–425 (1974)
Hanaoka, Y., Hanaoka, G., Shikata, J., Imai, H.: Information-Theoretically Secure Key Insulated Encryption: Models, Bounds and Constructions. IEICE Trans. Fundamentals E.87-A(10), 2521–2532 (2004)
Hanaoka, G., Shikata, J., Zheng, Y., Imai, H.: Unconditionally secure digital signature schemes admitting transferability. In: Okamoto, T. (ed.) ASIACRYPT 2000. LNCS, vol. 1976, pp. 130–142. Springer, Heidelberg (2000)
Itkis, G., Reyzin, L.: SiBIR: Signer-Base Intrusion-Resilient Signatures. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 499–514. Springer, Heidelberg (2002)
Johansson, T.: Further results on asymmetric authentication schemes. Information and Computation 151, 100–133 (1999)
Kumar, R., Rajagopalan, S., Sahai, A.: Coding constructions for blacklisting problems without computational assumptions. In: Wiener, M. (ed.) CRYPTO 1999. LNCS, vol. 1666, pp. 609–623. Springer, Heidelberg (1999)
Rivest, R.: Unconditionally secure commitment and oblivious transfer schemes using private channels and a trusted initializer (1999) (manuscript), http://people.csail.mit.edu/rivest/Rivest-commitment.pdf
Safavi-Naini, R., Wang, H.: Multireceiver authentication codes: model, bounds, constructions and extensions. Information and Computation 151, 148–172 (1999)
Shikata, J., Hanaoka, G., Zheng, Y., Imai, H.: Security Notions for Unconditionally Secure Signature Schemes. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 434–449. Springer, Heidelberg (2002)
Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Compt. 26(5), 1484–1509 (1997)
Shoup, V., Gennaro, R.: Securing threshold cryptosystems against chosen-ciphertext attack. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 1–16. Springer, Heidelberg (1998)
Simmons, G.J.: Authentication theory/coding theory. In: Blakely, G.R., Chaum, D. (eds.) CRYPTO 1984. LNCS, vol. 196, pp. 411–431. Springer, Heidelberg (1985)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Seito, T., Aikawa, T., Shikata, J., Matsumoto, T. (2010). Information-Theoretically Secure Key-Insulated Multireceiver Authentication Codes. In: Bernstein, D.J., Lange, T. (eds) Progress in Cryptology – AFRICACRYPT 2010. AFRICACRYPT 2010. Lecture Notes in Computer Science, vol 6055. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12678-9_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-12678-9_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12677-2
Online ISBN: 978-3-642-12678-9
eBook Packages: Computer ScienceComputer Science (R0)