0
$\begingroup$

I was having a read of this question: "Is multiplicative secret sharing secure?" posted in 2013 which asks if the simple multiplicative scheme is secure. Everyone agreed that it was information theoretic secure, however I am not so sure that this is the case. In particular, if the secret is 0 then does that not mean that a participant's share is 0? If this is the case than a participant with a share of 0 instantly knows the secret is 0.

Am i missing something here?

And is this the correct way to post this or would I be better off leaving a comment on the post in question?

$\endgroup$
4
$\begingroup$

There is no 0 in the multiplicative group $\mathbb{Z}_p^*$. By the definition of a group, every element must have an inverse. Thus, the unity in a multiplicative group is 1 and there is no 0.

$\endgroup$
1
  • $\begingroup$ Ah i see, I misread the question and thought it was for a field. Thanks Yehuda $\endgroup$ – Louis Feb 21 '18 at 11:21

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.