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On the weakest resource for coordination in arbitrarily varying multiple access channels with conferencing encoders

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Abstract

If senders and a receiver of an arbitrarily varying multiple-access channel (AV-MAC) have access to outputs of discrete correlated memoryless sources, the same rate region is achievable as if common randomness were available, no matter how small the correlation is. This reduces the necessary amount of cooperation in an AV-MAC considerably. Moreover, to transmit blocklength-n words, no more than order log n source outputs are required.

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References

  1. Ahlswede, R., Elimination of Correlation in Random Codes for Arbitrarily Varying Channels, Z. Wahrsch. Verw. Gebiete, 1978, vol. 44, no. 2, pp. 159–175.

    Article  MATH  MathSciNet  Google Scholar 

  2. Csiszár, I. and Narayan, P., The Capacity of the Arbitrarily Varying Channel Revisited: Positivity, Constraints, IEEE Trans. Inform. Theory, 1988, vol. 34, no. 2, pp. 181–193.

    Article  MATH  MathSciNet  Google Scholar 

  3. Ericson, T., Exponential Error Bounds for Random Codes in the Arbitrarily Varying Channel, IEEE Trans. Inform. Theory, 1985, vol. 31, no. 1, pp. 42–48.

    Article  MATH  MathSciNet  Google Scholar 

  4. Willems, F.M.J., Informationtheoretical Results for the Discrete Memoryless Multiple Access Channel, PhD Thesis, Leuven, Belgium: Katholieke Univ. Leuven, 1982.

    Google Scholar 

  5. Willems, F.M.J., The Discrete Memoryless Multiple Access Channel with Partially Cooperating Encoders, IEEE Trans. Inform. Theory, 1983, vol. 29, no. 3, pp. 441–445.

    Article  MATH  MathSciNet  Google Scholar 

  6. Wiese, M. and Boche, H., The Arbitrarily Varying Multiple-Access Channel with Conferencing Encoders, IEEE Trans. Inform. Theory, 2013, vol. 59, no. 3, pp. 1405–1416.

    Article  MathSciNet  Google Scholar 

  7. Gubner, J.A., On the Deterministic-Code Capacity of the Multiple-Access Arbitrarily Varying Channel, IEEE Trans. Inform. Theory, 1990, vol. 36, no. 2, pp. 262–275.

    Article  MATH  MathSciNet  Google Scholar 

  8. Ahlswede, R. and Cai, N., Correlated Sources Help Transmission over an Arbitrarily Varying Channel, IEEE Trans. Inform. Theory, 1997, vol. 43, no. 4, pp. 1254–1255.

    Article  MATH  MathSciNet  Google Scholar 

  9. Ahlswede, R. and Cai, N., Arbitrarily Varying Multiple-Access Channels. I. Ericson’s Symmetrizability Is Adequate, Gubner’s Conjecture Is True, IEEE Trans. Inform. Theory, 1999, vol. 45, no. 2, pp. 742–749.

    Article  MATH  MathSciNet  Google Scholar 

  10. Boche, H. and Nötzel, J., Arbitrarily Small Amounts of Correlation for Arbitrarily Varying Quantum Channels, arXiv:1301.6063v2 [quant-ph], 2013. To appear in J. Math. Phys.

    Google Scholar 

  11. Blinovsky, V.M., Narayan, P., and Pinsker, M.S., Capacity of the Arbitrarily Varying Channel under List Decoding, Probl. Peredachi Inf., 1995, vol. 31, no. 2, pp. 3–19 [Probl. Inf. Trans. (Engl. Transl.), 1995, vol. 31, no. 2, pp. 99–113].

    Google Scholar 

  12. Wiese, M. and Boche, H., Strong Secrecy for Multiple Access Channels, Information Theory, Combinatorics, and Search Theory. In Memory of Rudolf Ahlswede, Aydinian, H.K., Cicalese, F., and Deppe, C., Eds., Lect. Notes Comp. Sci., vol. 7777, Berlin: Springer, 2013, pp. 71–122.

    Chapter  Google Scholar 

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Correspondence to M. Wiese.

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Original Russian Text © M. Wiese, H. Boche, 2014, published in Problemy Peredachi Informatsii, 2014, Vol. 50, No. 1, pp. 18–30.

Supported in part by the German National Science Foundation (DFG), project nos. BO 1734/23-1 and BO 1734/24-1, in the COIN Focus Program.

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Wiese, M., Boche, H. On the weakest resource for coordination in arbitrarily varying multiple access channels with conferencing encoders. Probl Inf Transm 50, 15–26 (2014). https://doi.org/10.1134/S0032946014010025

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