>each share is actually bigger than the original secret This is not true according to the Wikipedia article: Shamir's secret sharing is minimal, i.e. the size

>each share is actually bigger than the original secret This is not true according to the Wikipedia article: Shamir's secret sharing is minimal, i.e. the size of each piece does not exceed the size of the original data. https://en.wikipedia.org/w/index.php?title=Shamir%27s_Secret_Sharing&oldid=717238585#Properties https://en.wikipedia.org/w/index.php?title=Shamir%27s_Secret....