On the Secure DoF of the Single-Antenna MAC

Details On the Secure DoF of the Single-Antenna MAC On the Secure DoF of the Single-Antenna MAC

2010-01-11

arxiv.org/abs/1001.1768v2

Computer Science

Information Theory

5 Pages, Submitted to ISIT 2010

Scientific paper

A new achievability rate region for the secure discrete memoryless Multiple-Access-Channel (MAC) is presented. Thereafter, a novel secure coding scheme is proposed to achieve a positive Secure Degrees-of-Freedom (S-DoF) in the single-antenna MAC. This scheme converts the single-antenna system into a multiple-dimension system with fractional dimensions. The achievability scheme is based on the alignment of signals into a small sub-space at the eavesdropper, and the simultaneous separation of the signals at the intended receiver. Tools from the field of Diophantine Approximation in number theory are used to analyze the probability of error in the coding scheme.

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