Binary repetition code
Not what you're looking for?
See attached file for full problem description.
6. Let be the binary repetition code with parameter [n, k] = [12, 4].
a) Give a generator matrix for that is in standard form. What does standard form means?
b) Give a parity check matrix for that is in standard form.
c) What is the minimum distance of ?
d) What is the minimum distance of ?
e) What is the dimension of ?
f) What is the dimension of ?
g) How many codewords are in ? List them.
h) How many codewords are in ? List them
Purchase this Solution
Solution Summary
This provides several questions about binary repetition code including generator and parity check matrices, distance, dimension, and codewords.
Solution Preview
Please see the attached file.
---59
6. Let be the binary repetition code with parameter [n, k] = [12, 4].
a) Give a generator matrix for that is in standard form. What does standard form means?
b) Give a parity check matrix for that is in standard form.
c) What is the minimum distance of ?
d) What is the minimum distance of ?
e) What is the dimension of ?
f) What is the dimension of ?
g) How many codewords are in ? List them.
h) How many codewords are in ? List them
Solution 59
Let £ be the binary repetition code => n = 12, k = 4, m = n - k = 12 - 4 = 8
a) Standard form means the form in which the generator matrix can be expressed as
G = [ Ik P ]
Where Ik is an identity matrix of order ( k x k) and P is a order ( k x m)
Generator matrix is standard form is given by
G = [ 1 ...
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts