algorithm - Why does Shamir Secret Sharing use Lagrange polynomials? -



algorithm - Why does Shamir Secret Sharing use Lagrange polynomials? -

i've read newton polynomials have improve computational complexity, shamir's uses lagrange polynomials instead. know if there particular reason why newton polynomials aren't used instead?

thanks

i can guess:

other that, lagrange easier calculate difference methods, , (probably rightly) regarded many best selection when 1 knows polynomial grade needed. , when interpolation done @ 1 x value, info points' y values varying 1 problem another, lagrange's formula becomes much more convenient begins selection consider.

http://en.wikipedia.org/wiki/newton_polynomial#strengths_and_weaknesses_of_various_formulae

algorithm cryptography shared-secret

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