Abstract
In this paper, we will examine the UC (Universal Composability) security of an improved version of the McEliece cryptosystem, namely the Randomized McEliece cryptosystem. We will prove that even this improved variant does not realize \(\mathcal {F}_\texttt{PKE}\), the public key encryption functionality securely.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Backes, M., Pfitzmann, B., Waidner, M.: A composable cryptographic library with nested operations. In 10th ACM Conference on Computer and Communications Security (CCS). Extended version at the eprint archive (2003). https://eprint.iacr.org/2003/015/
Canetti, R.: Universally Composable Security: A New Paradigm for Cryptographic Protocols. Cryptology ePrint Archive: Report 2000/067. (Accessed 22 Dec 2000–13 Dec 2005)
Courtois, N., Finiasz, M., Sendrier, N.: How to achieve a McEliece-based digital signature scheme. Cryptology ePrint Archive, Report 2001/010 (2001). https://doi.org/10.1007/3-540-45682-1_10, https://eprint.iacr.org/2001/010
Dallot, L.: Towards a concrete security proof of courtois, finiasz and sendrier signature scheme. In: Lucks, S., Sadeghi, A.-R., Wolf, C. (eds.) WEWoRC 2007. LNCS, vol. 4945, pp. 65–66. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-88353-1_6
Dottling, N., Dowsley, R., Muller-Quade, J., Nascimento, A.: A CCA2 secure variant of the McEliece cryptosystem. CoRR 1205.5224 (2012)
Goldreich, O.: Foundations of Cryptography. Cambridge Press, vol. 1 (2001)
Goldreich, O.: Foundations of Cryptography. Cambridge Press, vol. 2 (2004)
McEliece, R.J.: A public key cryptosystem based on algebraic coding theory. DSN Prog. Rep. 42–44, 114–116 (1978)
McEliece, R.J.: The Theory of Information and Coding. Addison Wesley (1977)
Nojima, R., Imai, H., Kobara, K., Morozov, K.: Semantic security the McEliece cryptosystem without random oracles. Des. Codes Crypt. 49, 289–305 (2008). https://doi.org/10.1007/s10623-008-9175-9
Patterson, N.: Algebraic decoding of Goppa codes. IEEE Trans. Inf. Theory 21, 203–207 (1975)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 Springer Nature Switzerland AG
About this paper
Cite this paper
Zentai, D. (2022). UC Analysis of the Randomized McEliece Cryptosystem. In: Ryan, P.Y., Toma, C. (eds) Innovative Security Solutions for Information Technology and Communications. SecITC 2021. Lecture Notes in Computer Science, vol 13195. Springer, Cham. https://doi.org/10.1007/978-3-031-17510-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-031-17510-7_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-17509-1
Online ISBN: 978-3-031-17510-7
eBook Packages: Computer ScienceComputer Science (R0)