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Article Details

Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

Complexity of Network Design for Private Communication and the P-vs-NP Question

Author 1: Stefan Rass

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Digital Object Identifier (DOI) : 10.14569/IJACSA.2014.050222

Article Published in International Journal of Advanced Computer Science and Applications(IJACSA), Volume 5 Issue 2, 2014.

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Abstract: We investigate infeasibility issues arising along network design for information-theoretically secure cryptography. In particular, we consider the problem of communication in perfect privacy and formally relate it to graph augmentation problems and the P-vs-NP-question. Based on a game-theoretic privacy measure, we consider two optimization problems related to secure infrastructure design with constraints on computational efforts and limited budget to build a transmission network. It turns out that information-theoretic security, although not drawing its strength from computational infeasibility, still can run into complexity-theoretic difficulties at the stage of physical network design. Even worse, if we measure (quantify) secrecy by the probability of information-leakage, we can prove that approximations of a network design towards maximal security are computationally equivalent to the exact solutions to the same problem, both of which are again equivalent to asserting that P = NP. In other words, the death of public-key cryptosystems upon P = NP may become the birth of feasible network design algorithms towards information-theoretically confidential communication.

Keywords: Complexity; NP; Privacy; Security; Game Theory; Graph Augmentation

Stefan Rass, “Complexity of Network Design for Private Communication and the P-vs-NP Question” International Journal of Advanced Computer Science and Applications(IJACSA), 5(2), 2014. http://dx.doi.org/10.14569/IJACSA.2014.050222

@article{Rass2014,
title = {Complexity of Network Design for Private Communication and the P-vs-NP Question},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2014.050222},
url = {http://dx.doi.org/10.14569/IJACSA.2014.050222},
year = {2014},
publisher = {The Science and Information Organization},
volume = {5},
number = {2},
author = {Stefan Rass}
}


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