I have a secret value m Z 37 that I want to distribute to 5 of my friends (Alice, Bob. Charlie, Dave, Evan) using 3-out-of-5 Shamir secret sharing. 1. I choose a polynomial f with coefficients in Z 37 . What is the degree of the polynomial? 2. In what way do the polynomial's coefficients depend on m ? 3. What values do I give to Alice, Bob, Charlie, Dave, Evan as their shares? .

1. I have a secret value m Z 37 that I want to distribute to 5 of my friends (Alice, Bob. Charlie,
Dave, Evan) using 3-out-of-5 Shamir secret sharing. 1. I choose a polynomial f with coefficients
in Z 37 . What is the degree of the polynomial? 2. In what way do the polynomial's coefficients
depend on m ? 3. What values do I give to Alice, Bob, Charlie, Dave, Evan as their shares?