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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7777))

Abstract

Upper and lower bounds to the oblivious transfer (OT) capacity of discrete memoryless channels and multiple sources are obtained, for 1 of 2 strings OT with honest but curious participants. The upper bounds hold also for one-string OT. The results provide the exact value of OT capacity for a specified class of models, and the necessary and sufficient condition of its positivity, in general.

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References

  1. Ahlswede, R., Csiszár, I.: Common randomness in information theory and cryptography, part I. IEEE Trans. Inf. Theory 39, 1121–1132 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ahlswede, R., Csiszár, I.: On oblivious transfer capacity. In: Proc. ISIT 2007, Nice, pp. 2061–2064 (2007)

    Google Scholar 

  3. Alicki, R., Fannes, M.: Continuity of quantum conditional information. J. Phys. A: Math. Gen. 37, L55–L57 (2004)

    Google Scholar 

  4. Audenaert, K.M.R.: A sharp Fannes-type inequality for the von Neumann entropy. J. Phys. A. 40, 8127–8136 (2007)

    Article  MATH  Google Scholar 

  5. Csiszár, I., Körner, J.: Broadcast channels with confidential messages. IEEE Trans. Inf. Theory 24, 339–348 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  6. Csiszár, I., Körner, J.: Information Theory: Coding Theorems for Discrete Memoryless Systems, 2nd edn. Cambridge University Press (2011)

    Google Scholar 

  7. Imai, H., Nascimento, A., Morozov, K.: On the oblivious transfer capacity of the erasure channel. In: Proc. ISIT 2006, Seattle, pp. 1428–1431 (2006)

    Google Scholar 

  8. Ishai, Y., Kushilevitz, E., Ostrovsky, R., Prabhakaran, M., Sahai, A., Wullschleger, J.: Constant-Rate Oblivious Transfer from Noisy Channels. In: Rogaway, P. (ed.) CRYPTO 2011. LNCS, vol. 6841, pp. 667–684. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  9. Kilian, J.: Founding cryptography on oblivious transfer. In: Proc. STOC 1988, pp. 20–31 (1988)

    Google Scholar 

  10. Maurer, U.: Secret key agreement by public discussion. IEEE Trans. Inf. Theory 39, 733–742 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  11. Nascimento, A., Winter, A.: On the oblivious transfer capacity of noisy correlations. In: Proc. ISIT 2006, Seattle, pp. 1871–1875 (2006)

    Google Scholar 

  12. Nascimento, A., Winter, A.: On the oblivious transfer capacity of noisy resources. IEEE Trans. Inf. Theory 54, 2572–2581 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  13. Pinto, A., Dowsley, R., Morozov, K., Nascimento, A.: Achieving oblivious transfer apacity of generalized erasure channels in the malicious model. IEEE Trans. Inf. Theory 57, 5566–5571 (2011)

    Article  MathSciNet  Google Scholar 

  14. Prabhakaran, V., Prabhakaran, M.: Assisted common information with an application to secure two-party sampling. arXiv:1206.1282v1 [cs.IT] (2012)

    Google Scholar 

  15. Winter, A., Nascimento, A.C.A., Imai, H.: Commitment Capacity of Discrete Memoryless Channels. In: Paterson, K.G. (ed.) Cryptography and Coding 2003. LNCS, vol. 2898, pp. 35–51. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  16. Wolf, S., Wullschleger, J.: Oblivious Transfer Is Symmetric. In: Vaudenay, S. (ed.) EUROCRYPT 2006. LNCS, vol. 4004, pp. 222–232. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  17. Wyner, A.: The wiretap channel. Bell System Tech. J. 54, 1355–1387 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhang, Z.: Estimating mutual information via Kolmogorov distance. IEEE Trans. Inf. Theory 53, 3280–3283 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Ahlswede, R., Csiszár, I. (2013). On Oblivious Transfer Capacity. In: Aydinian, H., Cicalese, F., Deppe, C. (eds) Information Theory, Combinatorics, and Search Theory. Lecture Notes in Computer Science, vol 7777. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36899-8_6

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  • DOI: https://doi.org/10.1007/978-3-642-36899-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36898-1

  • Online ISBN: 978-3-642-36899-8

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