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Double circulant and quasi-twisted self-dual codes over $\mathbb F_5$ and $\mathbb F_7$
The final form of Tao's inequality relating conditional expectation and conditional mutual information
1. | Department of Mathematics, University of Bielefeld, POB 100131, D-33501 Bielefeld, Germany |
$ \E(|\E(Y|X')-\E(Y|X)|)\leq2I(X\wedge Y|X')^{\frac12}.$
We show that the constant $2$ can be improved to $(2 \l n2)^{\frac{1}{2}}$ and that this is the best possible constant.
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