Download presentation

Presentation is loading. Please wait.

Published byIsabel York Modified over 2 years ago

1
Paul Cuff THE SOURCE CODING SIDE OF SECRECY TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AA

2
Game Theoretic Secrecy Motivating Problem Mixed Strategy Non-deterministic Requires random decoder Dual to wiretap channel Encoder Communication leakage Eavesdropping Zero-sum Repeated Game Player 1 Player 2 State

3
Main Topics of this Talk Achievability Proof Techniques: 1.Pose problems in terms of existence of joint distributions 2.Relax Requirements to “close in total variation” 3.Main Tool --- Reverse Channel Encoder 4.Easy Analysis of Optimal Adversary

4
Restate Problem---Example 1 (RD Theory) Can we design: such that Does there exists a distribution: StandardExistence of Distributions fg

5
Restate Problem---Example 2 (Secrecy) Can we design: such that Does there exists a distribution: StandardExistence of Distributions fg Eve Score [Cuff 10]

6
Tricks with Total Variation Technique Find a distribution p 1 that is easy to analyze and satisfies the relaxed constraints. Construct p 2 to satisfy the hard constraints while maintaining small total variation distance to p 1. How? Property 1:

7
Tricks with Total Variation Technique Find a distribution p 1 that is easy to analyze and satisfies the relaxed constraints. Construct p 2 to satisfy the hard constraints while maintaining small total variation distance to p 1. Why? Property 2 (bounded functions):

8
Summary Achievability Proof Techniques: 1.Pose problems in terms of existence of joint distributions 2.Relax Requirements to “close in total variation” 3.Main Tool --- Reverse Channel Encoder 4.Easy Analysis of Optimal Adversary Secrecy Example:For arbitrary ², does there exist a distribution satisfying:

9
Cloud Overlap Lemma Previous Encounters Wyner, 75 --- used divergence Han-Verdú, 93 --- general channels, used total variation Cuff 08, 09, 10, 11 --- provide simple proof and utilize for secrecy encoding P X|U (x|u) Memoryless Channel

10
Reverse Channel Encoder For simplicity, ignore the key K, and consider J a to be the part of the message that the adversary obtains. (i.e. J = (J a, J s ), and ignore J s for now) Construct a joint distribution between the source X n and the information J a (revealed to the Adversary) using a memoryless channel. P X|U (x|u) Memoryless Channel

11
Simple Analysis This encoder yields a very simple analysis and convenient properties 1.If |J a | is large enough, then X n will be nearly i.i.d. in total variation 2.Performance: P X|U (x|u) Memoryless Channel

12
Summary Achievability Proof Techniques: 1.Pose problems in terms of existence of joint distributions 2.Relax Requirements to “close in total variation” 3.Main Tool --- Reverse Channel Encoder 4.Easy Analysis of Optimal Adversary

Similar presentations

OK

TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAA A.

TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAA A.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on general motors india Ppt on 60 years of indian parliament latest Ppt on cloud computing applications Ppt on money and credit download Ppt on methods of gene transfer in plants Types of window display ppt on ipad Free download ppt online shopping project Ppt on linked list in java By appt only movie pro Ppt on event planning and management