-secret sharing scheme

Dealer

Participants

Calculate.

Choose abstract free generating set

with and a Nielsen reduced set, words in X.

Apply regular Nielsen transformation (NT) on U:

.

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

it is for.

Distribute shares to the participants.

t participants combine their shares and thus get the set V.

Apply regular Nielsen transformation (NT) on V:

The secret is