English

Secret Key Establishment over a Pair of Independent Broadcast Channels

Information Theory 2010-04-23 v2 Cryptography and Security math.IT

Abstract

This paper considers the problem of information-theoretic Secret Key Establishment (SKE) in the presence of a passive adversary, Eve, when Alice and Bob are connected by a pair of independent discrete memoryless broadcast channels in opposite directions. We refer to this setup as 2DMBC. We define the secret-key capacity in the 2DMBC setup and prove lower and upper bounds on this capacity. The lower bound is achieved by a two-round SKE protocol that uses a two-level coding construction. We show that the lower and the upper bounds coincide in the case of degraded DMBCs.

Keywords

Cite

@article{arxiv.1001.3908,
  title  = {Secret Key Establishment over a Pair of Independent Broadcast Channels},
  author = {Hadi Ahmadi and Reihaneh Safavi-Naini},
  journal= {arXiv preprint arXiv:1001.3908},
  year   = {2010}
}

Comments

23 Pages, 4 figures, submitted to the 2010 International Symposium on Information Theory and its Applications (ISITA2010)