Title
A Note On The Joint Entropy Of N/2-Wise Independence
Abstract
In this note, we prove a tight lower bound on the joint entropy of n unbiased Bernoulli random variables which are n/2-wise independent.For general k-wise independence, we give new lower bounds by adapting Navon and Samorodnitsky's Fourier proof of the 'LP bound' on error correcting codes.This counts as partial progress on a problem asked by Gavinsky and Pudlak in [3].
Year
Venue
Field
2018
2018 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Discrete mathematics,Combinatorics,Random variable,Upper and lower bounds,Computer science,Fourier transform,Joint entropy,Bernoulli's principle
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Amey Bhangale1106.71
Aditya Potukuchi201.01