Capacity of the Gaussian arbitrarily varying channel

This is the authors' abstract. We don't add key points for this paper.

The Gaussian arbitrarily varying channel with input constraint Gamma and state constraint Lambda admits input sequences x=(x/sub 1/,---,X/sub n/) of real numbers with Sigma x/sub i//sup 2/<or=n Gamma and state sequences s=(S/sub 1/,---,s/sub n/) of real numbers with Sigma s/sub i//sup 2/<or=n Lambda ; the output sequence x+s+V, where V=(V/sub 1/,---,V/sub n/) is a sequence of independent and identically distributed Gaussian random variables with mean 0 and variance sigma /sup 2/. It is proved that the capacity of this arbitrarily varying channel for deterministic codes and the average probability of error criterion equals 1/2 log (1+ Gamma /( Lambda + sigma /sup 2/)) if Lambda < Gamma and is 0 otherwise.<<ETX>>