Hi. I try to give my perspective on this issue. The problem with socialist calculation problem is not related with the kind of currency or crypto-currency in use. The problem is first of all related with the existence of prices. In fact, in a socialist economic system, there cannot be prices. Value is subjective. Subjective evaluations are dispersed in the minds of economic actors. Market is the place where such evaluations find a synthesis and become objective prices. Generated in this way, prices can act as information transmission vehicles (objective information about subjective evaluations). Without the mediation of market, such evaluations could not be transformed in prices and therefore the information transmission could not happen.

In a socialist economy, market functions is abolished by definition. It means that prices cannot arise. Of course, we can find numerical representations of the assumed value of goods. But such figures would be simply numeraires, decided by the central planner, without knowing the structure of preferences (preferences are the root of values).

Socialist calculation is thus not possible because the information synthesis contained in prices cannot arise. Prices, in order to be generated, need market. This because they are synthesis of millions of evaluations. Information related with such evaluations is dispersed in millions of minds. No central planner can, in a moment, possess all the dispersed information.

As economic process happens in time, personal evaluations are continuosly subjective to revision. Economic plans are individually and continuosly revised in order to take in account the new information acquired through previous economic actions.

With central planning, such a revision, brought out by  the never-ending discover of new information, cannot be accomplished. In fact, central planner is not really an economic actor and in general, without the market, cannot know the intertemporal structure of preferences.

In the same way, salaries are related with the existence of prices, are prices in themselves. Without the market, objective salaries cannot be paid, in any currency or form. Simply because the value of labour in a certain industry cannot be known.

The only way to admit the socialist calculation is to accept an objective theory of value, according to which personal evaluations plays no role in the formation of price. But to admit this would mean to deny the essence of economic action: the choice, execution and revision of ends-means frameworks though plans generated by individual preferences and expectations.

Very interesting question, but it comes packed with so many loaded terms and language that I'm not even sure where to start.

Don't take the link tooo seriously, but I have a playful idea that may skirt around some very closely related issues, at http://www.inandoutofthebox.net/blog/?p=8280. I propose a currency where the minimum wage is set at a price where one hour of labour is sufficient to buy one meal for one person at a "middling" restaurant where a lower class person could reasonably feel OK to take a date. The point in relation to your question is that it's hard to establish a) the economic value of something, and b) that value in the context of acceptable social distributions, understanding that incentives matter.

This is an interesting question, but I do not think that it is true - regardless, currency is a social institution that is bounded by capitalist social relations between creditors and debtors...whether money is a physical object or digital, it is still a promise to pay that entrenches a certain modus operandi.

To do that, a digital currency must be able to determine somehow how many hours of abstract labor equals that many hours of the specific kind of concrete labor done by each person. If we take Lange's proposition that "the market was mankind's first computer", than we need an good algorithm  and computational power in levels high enough to perform the same task as the market.

If we are to belive Hayek, that's impossible. Some of the contributions of behavioral economics make me believe that it could be done (although i don't think this field's authors would agree with me). But if it can actually be done, i believe that the question turns to the costs of implementing such system, with high computational power requirements. It would also be necessary a very wide network: if the ones who are part of the system are minoritary to the whole economic active population, i believe it would not work properly.