I fail to see how magic advanced computer power would solve the problem of economic calculation in the socialist commonwealth. Without prices there is no efficient distribution of resources.
For more than 10 years thousands of party members from soviet republic of Uzbekistan were sending fake data to Moscow (this included corruption on many levels across the country) about production of cotton. Everyone was involved, from top to bottom, I don't see how creation of any network would help with that. In fact programmers across USSR were putting tools into the software for state companies to produce "fixed" results for central planning committee. And in central planning committee they were also corrupt :) (my relative worked there in 80s and I know how it was organized on basic level).
I recommend reading about the theory of the firm to understand why they emerge and what makes them efficient.
By the fall of the SSSR the black market of illegally imported goods constituted a huge chunk of the soviet economy.
Also I find intriguing how I got downvoted just by questioning. Makes you wonder how wisely those mod powers are being used.
By the fall of USSR, big chunks of black market were becoming legal :) Black market was a massive portion of economy throughout USSR existence though.
Some people still buy old good CCCP propaganda. And even questioning fairy tale propaganda is bad for those people.