Venezuela's electoral authorities said the turn-out for the elections for a new constituent assembly had been 41.5%.
But the opposition said the figures had been inflated.
"It is with the deepest regret that we have to report that the turnout numbers on Sunday 30th July for the Constituent Assembly in Venezuela were tampered with," Mr Mugica said.
He added that although his company had recorded the true number of voters, a full audit would have to take place before he could give the figure.
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