Abstract
Recently Bernstein [4] has provided a simpler proof of indistinguishability of CBC construction [3] which is giving insight of the construction. Indistinguishability of any function intuitively means that the function behaves very closely to a uniform random function. In this paper we make a unifying and simple approach to prove indistinguishability of many existing constructions. We first revisit Bernstein’s proof. Using this idea we can show a simpler proof of indistinguishability of a class of DAG based construction [8], XCBC [5], TMAC [9], OMAC [7] and PMAC [6]. We also provide a simpler proof for stronger bound of CBC [1] and a simpler proof of security of on-line Hash-CBC [2]. We note that there is a flaw in the security proof of Hash-CBC given in [2]. This paper will help to understand security analysis of indistinguishability of many constructions in a simpler way.
Keywords
- Output Function
- Input Function
- Random Function
- Simple Proof
- Sink Node
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
Bellare, M., Pietrzak, K., Rogaway, P.: Improved Security Analysis for CBC MACs. In: Shoup, V. (ed.) CRYPTO 2005. LNCS, vol. 3621, pp. 527–545. Springer, Heidelberg (2005)
Bellare, M., Boldyreva, A., Knudsen, L., Namprempre, C.: On-Line Ciphers and the Hash-CBC constructions. In: Kilian, J. (ed.) CRYPTO 2001. LNCS, vol. 2139, pp. 292–309. Springer, Heidelberg (2001)
Bellare, M., Killan, J., Rogaway, P.: The security of the cipher block chanining Message Authentication Code. In: Desmedt, Y.G. (ed.) CRYPTO 1994. LNCS, vol. 839, pp. 341–358. Springer, Heidelberg (1994)
Bernstein, D.J.: A short proof of the unpredictability of cipher block chaining (2005), URL: http://cr.yp.to/papers.html#easycbc ID 24120a1f8b92722b5e15fbb6a86521a0
Black, J., Rogaway, P.: CBC MACs for arbitrary length messages. In: Bellare, M. (ed.) CRYPTO 2000. LNCS, vol. 1880, pp. 197–215. Springer, Heidelberg (2000)
Black, J., Rogaway, P.: A Block-Cipher Mode of Operations for Parallelizable Message Authentication. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 384–397. Springer, Heidelberg (2002)
Iwata, T., Kurosawa, K.: OMAC: One-Key CBC MAC. In: Johansson, T. (ed.) FSE 2003. LNCS, vol. 2887, pp. 129–153. Springer, Heidelberg (2003)
Jutla, C.S.: PRF Domain Extension using DAG. In: Halevi, S., Rabin, T. (eds.) TCC 2006. LNCS, vol. 3876, pp. 561–580. Springer, Heidelberg (2006)
Kurosawa, K., Iwata, T.: TMAC: Two-Key CBC MAC. In: Joye, M. (ed.) CT-RSA 2003. LNCS, vol. 2612, pp. 33–49. Springer, Heidelberg (2003)
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Nandi, M. (2006). A Simple and Unified Method of Proving Indistinguishability. In: Barua, R., Lange, T. (eds) Progress in Cryptology - INDOCRYPT 2006. INDOCRYPT 2006. Lecture Notes in Computer Science, vol 4329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11941378_23
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DOI: https://doi.org/10.1007/11941378_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49767-7
Online ISBN: 978-3-540-49769-1
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