Homework 2
Reading:
 Section 4.1 (but light on the bound stuff), 4.2, 4.3, 4.5, 4.6.
 Then section 4.1 again.
Problems:
 Problems 4.1, 4.2, 4.3, 4.4, 4.5, 4.6,
 4.8(a) Also find the generator matrix for this code.
 4.11, 4.12, 4.13, 4.14, 4.15, 4.16(a,b)

The generator matrix for a code over
is given by
 Find the generator matrix and paritycheck matrix for an equivalent systematic code.
 List the vectors in the orthogonal complement of the code.
 Form the standard array for this code.
 How many codewords are there of weight ?
 Find the codeword with 101 as information symbols.
 Decode the received word 111001.

Given a code with a paritycheck matrix
, show that the coset
with syndrome
contains a vector of weight
if and only if
some linear combination of
columns of
equals
.
Copyright 2008,
Todd Moon.
Cite/attribute Resource
.
admin. (2006, June 21). Homework 2. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Error_Control_Coding/hw2new.html.
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