Due: Thursday, October 2, 1997
Devise a procedure for correcting double erasures for the Hamming
[2m-1, 2m-1-m, 3] code.
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.
Construct the multiplication table of the group given by the presentation:
( r, s | r3 = s2 = 1, sr = r2s )
You may assume that the distinct group elements are:
1, r, r2, s, rs, r2s
Last Modified: September 25, 1997