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On the Key-Privacy Issue of McEliece Public-Key Encryption

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Book cover Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4851))

Abstract

The notion of key-privacy for encryption schemes was formally defined by Bellare, Boldyreva, Desai and Pointcheval in Asiacrypt 2001. This security notion has the application possibility in circumstances where anonymity is important. In this paper, we investigate the key-privacy issues of McEliece public-key encryption and its significant variants. To our best knowledge, it is the first time to consider key-privacy for such code-based public-key encryption, in the literature. We examine that the key-privacy is not available in the plain McEliece scheme, but can be achieved by some modification, with showing a rigorous proof. We believe that key-privacy confirmation will further magnify the application of McEliece and other code-based cryptography.

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References

  1. Bellare, M., Boldyreva, A., Desai, A., Pointcheval, D.: Key-Privacy in Public-Key Encryption. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 566–582. Springer, Heidelberg (2001)

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  2. Bellare, M., Desai, A., Pointcheval, D., Rogaway, P.: Relations Among Notions of Security for Public-Key Encryption Schemes. In: Krawczyk, H. (ed.) CRYPTO 1998. LNCS, vol. 1462, pp. 26–45. Springer, Heidelberg (1998)

    Google Scholar 

  3. Bellare, M., Rogaway, P.: Random Oracles are Practical: A Paradigm for Designing Efficient Protocols. In: 1993 ACM Conf. Computer and Communications Security, pp. 62–73 (1993)

    Google Scholar 

  4. Courtois, N., Finiasz, M., Sendrier, N.: How to Achieve a McEliece-Based Digital Signature Scheme. In: Boyd, C. (ed.) ASIACRYPT 2001. LNCS, vol. 2248, pp. 157–174. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Halevi, S.: A Sufficient Condition for Key-Privacy. Cryptology ePrint Archive: Report 2005/005 (2005)

    Google Scholar 

  6. Kobara, K., Imai, H.: Semantically Secure McEliece Public-Key Cryptosystems-Conversions for McEliece PKC. Public Key Cryptography, pp. 19–35 (2001)

    Google Scholar 

  7. McEliece, R.J.: A Public-Key Cryptosystem Based on Algebraic Coding Theory. Deep Space Network Progress Rep. (1978)

    Google Scholar 

  8. Niederreiter, H.: Knapsack-type Cryptosystems and Algebraic Coding Theory. Prob. of Control and Inf. Theory 15(2), 159–166 (1986)

    MATH  MathSciNet  Google Scholar 

  9. Nojima, R., Imai, H., Kobara, K., Morozov, K.: Semantic Security for the McEliece Cryptosystem without Random Oracles. In: WCC 2007, pp. 257–268 (2007)

    Google Scholar 

  10. Shoup, V.: Sequences of Games: a Tool for Taming Complexity in Security Proofs. Cryptology ePrint Archive: Report 2004/332 (2004)

    Google Scholar 

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Serdar BoztaÅŸ Hsiao-Feng (Francis) Lu

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© 2007 Springer-Verlag Berlin Heidelberg

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Yamakawa, S., Cui, Y., Kobara, K., Hagiwara, M., Imai, H. (2007). On the Key-Privacy Issue of McEliece Public-Key Encryption. In: BoztaÅŸ, S., Lu, HF.(. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2007. Lecture Notes in Computer Science, vol 4851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77224-8_21

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  • DOI: https://doi.org/10.1007/978-3-540-77224-8_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-77223-1

  • Online ISBN: 978-3-540-77224-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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