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Building Blockcipher from Tweakable Blockcipher: Extending FSE 2009 Proposal

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Abstract

This paper extends the provably-secure blockcipher construction proposed at FSE 2009 by Minematsu. Unlike the classical Luby-Rackoff cipher and its variants, the scheme is based on tweakable blockciphers. An advantage of the scheme is that it provides the beyond-birthday-bound security quite efficiently. While FSE 2009 proposal was the case of building a 2n-bit blockcipher using an n-bit tweakable blockcipher, we extend it to shorter and longer block lengths than 2n bits, keeping the security of beyond the birthday bound.

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References

  1. http://www.epcglobalinc.org/standards/tds/

  2. Bellare, M., Krovetz, T., Rogaway, P.: Luby-Rackoff Backwards: Increasing Security by Making Block Ciphers Non-invertible. In: Nyberg, K. (ed.) EUROCRYPT 1998. LNCS, vol. 1403, pp. 266–280. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Bellare, M., Ristenpart, T., Rogaway, P., Stegers, T.: Format-Preserving Encryption. In: Jacobson Jr., M.J., Rijmen, V., Safavi-Naini, R. (eds.) SAC 2009. LNCS, vol. 5867, pp. 295–312. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  4. Bernstein, D.J.: The Poly1305-AES Message-Authentication Code. In: Gilbert, H., Handschuh, H. (eds.) FSE 2005. LNCS, vol. 3557, pp. 32–49. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Biryukov, A., Khovratovich, D.: Related-Key Cryptanalysis of the Full AES-192 and AES-256. In: Matsui, M. (ed.) ASIACRYPT 2009. LNCS, vol. 5912, pp. 1–18. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  6. Chakraborty, D., Nandi, M.: An Improved Security Bound for HCTR. In: Nyberg, K. (ed.) FSE 2008. LNCS, vol. 5086, pp. 289–302. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  7. Chakraborty, D., Sarkar, P.: HCH: A New Tweakable Enciphering Scheme Using the Hash-Encrypt-Hash Approach. In: Barua, R., Lange, T. (eds.) INDOCRYPT 2006. LNCS, vol. 4329, pp. 287–302. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Coron, J.-S., Dodis, Y., Mandal, A., Seurin, Y.: A Domain Extender for the Ideal Cipher. In: Micciancio, D. (ed.) TCC 2010. LNCS, vol. 5978, pp. 273–289. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Daemen, J., Rijmen, V.: The Block Cipher BKSQ. In: Schneier, B., Quisquater, J.-J. (eds.) CARDIS 1998. LNCS, vol. 1820, pp. 236–245. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  10. Ferguson, N., Lucks, S., Schneier, B., Whiting, D., Bellare, M., Kohno, T., Callas, J., Walker, J.: The Skein Hash Function Family, http://www.skein-hash.info/

  11. Goldreich, O.: Modern Cryptography, Probabilistic Proofs, and Pseudorandomness. Springer-Verlag New York, Inc., Secaucus (1998)

    Google Scholar 

  12. Halevi, S.: EME*: Extending EME to Handle Arbitrary-Length Messages with Associated Data. In: Canteaut, A., Viswanathan, K. (eds.) INDOCRYPT 2004. LNCS, vol. 3348, pp. 315–327. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  13. Halevi, S.: Invertible Universal Hashing and the TET Encryption Mode. In: Menezes, A. (ed.) CRYPTO 2007. LNCS, vol. 4622, pp. 412–429. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Halevi, S., Krawczyk, H.: MMH: Software Message Authentication in the Gbit/Second Rates. In: Biham, E. (ed.) FSE 1997. LNCS, vol. 1267, pp. 172–189. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  15. Halevi, S., Rogaway, P.: A Tweakable Enciphering Mode. In: Boneh, D. (ed.) CRYPTO 2003. LNCS, vol. 2729, pp. 482–499. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Halevi, S., Rogaway, P.: A Parallelizable Enciphering Mode. In: Okamoto, T. (ed.) CT-RSA 2004. LNCS, vol. 2964, pp. 292–304. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Knudsen, L., Leander, G., Poschmann, A., Robshaw, M.J.B.: PRINTcipher: A Block Cipher for IC-Printing. In: Mangard, S., Standaert, F.-X. (eds.) CHES 2010. LNCS, vol. 6225, pp. 16–32. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  18. Krovetz, T.: Message Authentication on 64-Bit Architectures. In: Biham, E., Youssef, A.M. (eds.) SAC 2006. LNCS, vol. 4356, pp. 327–341. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  19. Liskov, M., Rivest, R.L., Wagner, D.: Tweakable Block Ciphers. In: Yung, M. (ed.) CRYPTO 2002. LNCS, vol. 2442, pp. 31–46. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  20. Luby, M., Rackoff, C.: How to Construct Pseudorandom Permutations from Pseudorandom Functions. SIAM J. Comput. 17, 373–386 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  21. Lucks, S.: The Sum of PRPs Is a Secure PRF. In: Preneel, B. (ed.) EUROCRYPT 2000. LNCS, vol. 1807, pp. 470–484. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  22. Maurer, U.M.: Indistinguishability of Random Systems. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 110–132. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  23. Maurer, U.M., Pietrzak, K.: The Security of Many-Round Luby-Rackoff Pseudo-Random Permutations. In: Biham, E. (ed.) EUROCRYPT 2003. LNCS, vol. 2656, pp. 544–561. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  24. Minematsu, K.: Beyond-Birthday-Bound Security Based on Tweakable Block Cipher. In: Dunkelman, O. (ed.) FSE 2009. LNCS, vol. 5665, pp. 308–326. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  25. Minematsu, K., Matsushima, T.: Tweakable Enciphering Schemes from Hash-Sum-Expansion. In: Srinathan, K., Rangan, C.P., Yung, M. (eds.) INDOCRYPT 2007. LNCS, vol. 4859, pp. 252–267. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  26. Morris, B., Rogaway, P., Stegers, T.: How to Encipher Messages on a Small Domain. In: Halevi, S. (ed.) CRYPTO 2009. LNCS, vol. 5677, pp. 286–302. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  27. Naor, M., Reingold, O.: On the Construction of Pseudorandom Permutations: Luby-Rackoff Revisited. J. Cryptology 12(1), 29–66 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  28. Patarin, J.: Security of Random Feistel Schemes with 5 or More Rounds. In: Franklin, M. (ed.) CRYPTO 2004. LNCS, vol. 3152, pp. 106–122. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  29. Ristenpart, T., Rogaway, P.: How to Enrich the Message Space of a Cipher. In: Biryukov, A. (ed.) FSE 2007. LNCS, vol. 4593, pp. 101–118. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  30. Rogaway, P.: Efficient Instantiations of Tweakable Blockciphers and Refinements to Modes OCB and PMAC. In: Lee, P.J. (ed.) ASIACRYPT 2004. LNCS, vol. 3329, pp. 16–31. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  31. Rogaway, P., Zhang, H.: Online Ciphers from Tweakable Blockciphers. In: Kiayias, A. (ed.) CT-RSA 2011. LNCS, vol. 6558, pp. 237–249. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  32. Sarkar, P.: Improving Upon the TET Mode of Operation. In: Nam, K.-H., Rhee, G. (eds.) ICISC 2007. LNCS, vol. 4817, pp. 180–192. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  33. Schroeppel, R.: The Hasty Pudding Cipher (1998), http://richard.schroeppel.name:8015/hpc/

  34. Standaert, F.-X., Piret, G., Gershenfeld, N., Quisquater, J.-J.: SEA: A Scalable Encryption Algorithm for Small Embedded Applications. In: Domingo-Ferrer, J., Posegga, J., Schreckling, D. (eds.) CARDIS 2006. LNCS, vol. 3928, pp. 222–236. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  35. Wang, P., Feng, D., Wu, W.: HCTR: A Variable-Input-Length Enciphering Mode. In: Feng, D., Lin, D., Yung, M. (eds.) CISC 2005. LNCS, vol. 3822, pp. 175–188. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

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Minematsu, K., Iwata, T. (2011). Building Blockcipher from Tweakable Blockcipher: Extending FSE 2009 Proposal. In: Chen, L. (eds) Cryptography and Coding. IMACC 2011. Lecture Notes in Computer Science, vol 7089. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25516-8_24

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  • DOI: https://doi.org/10.1007/978-3-642-25516-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25515-1

  • Online ISBN: 978-3-642-25516-8

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