Homework 3
Due: Thursday, October 2, 1997

Problem 1.
Devise a procedure for correcting double erasures for the Hamming
[2^{m}1, 2^{m}1m, 3] code.

Problem 2.
Let V be the binary [15,11,3] Hamming code.
 a) Compute the weight enumerator of the null space of V.
 b) Then use the MacWilliams identity to compute the weight
enumerator of V.

Problem 3.
Construct the multiplication table of the group given by the presentation:
( r, s  r^{3} = s^{2} = 1, sr = r^{2}s )
You may assume that the distinct group elements are:
1, r, r^{2}, s, rs, r^{2}s
Last Modified: September 25, 1997