-secret sharing scheme

Dealer

Participants

Calculate.

Choose abstract free generating set and explicit free generating set with (all or almost all).

Apply simultaneously regular Nielsen transformation (NT) on X and M:

;.

Construct sets and with share distribution method given by D. Panagopoulos;

it is for.

Distribute shares to the participants.

participants combine their shares and thus get the sets U and N.

Apply simultaneously regular Nielsen transformation (NT) on U and N:

The secret is