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Reliable Deniable Communication: Hiding Messages in NoisePowerPoint Presentation

Reliable Deniable Communication: Hiding Messages in Noise

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### Reliable Deniable Communication: Hiding Messages in Noise

Pak HouChe

MayankBakshi

SidharthJaggi

The Chinese University

of Hong Kong

The Institute of

Network Coding

Hypothesis Testing

- Want:

Hypothesis Testing

- Want:
- Known: for opt. estimator

Hypothesis Testing

- Want:
- Known: for opt. estimator
- , (w.h.p.)

Bash, Goeckel & Towsley [1]

Shared secret

bits

AWGN channels

Capacity = bits

[1] B. A. Bash, D. Goeckel and D. Towsley, “Square root law for communication with low probability of detection on AWGN channels,” in Proceedings of the IEEE International Symposium on Information Theory (ISIT), 2012, pp. 448–452.

Main Theorems

- Theorem 1
- Deniability low weight codewords

- Theorem 2
- Converse of reliability

- Theorem 3
- Achievability (reliability & deniability)

- Theorem 4
- Trade-off between deniability & size of codebook

Theorem 1 (wt(c.w.))(high deniability => low weight codewords)

Theorem 2 (Converse)

- , if
- if

Theorem 3 – Reliability

- Random codebook ( i.i.d. ) )
- minimum distance decoder
- For ,

log(# vectors)

log(# codewords)

Theorem 3 – Deniability proof sketch

- Recall: want to show

Theorem 3 – Deniability proof sketch

- Recall: want to show

Theorem 3 – Deniability proof sketch

!!!

Theorem 3 – Deniability proof sketch

!!!

Theorem 3 – Deniability proof sketch

with high probability

Theorem 3 – Deniability proof sketch

# codewords of “type”

Theorem 3 – Deniability proof sketch

Theorem 3 – Deniability proof sketch

Theorem 3 – Deniability proof sketch

Theorem 3 – Deniability proof sketch

Theorem 3 – Deniability proof sketch

- w.p.

Theorem 3 – Deniability proof sketch

- w.p.
- close to w.p.
- , w.h.p.

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