Question: Suppose C is a binary ( n;M; 1 ) - code. Explain how to construct a ( 2 n + 1 ;M; 3 ) -

Suppose C is a binary (n;M; 1)-code. Explain how to construct a
(2n +1;M; 3)-code out of C. Verify that your resulting code has minimal distance 3.
(Hint: Follow the construction of C3 out of C1.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

( a ) Consider the ternary linear code C of length 5 with parity matrix H = 0 2 0 0 2 0 1 2 2 1 2 0 1 2 2 ( i ) What is dim C ? [ 5 marks ] ( ii ) Write out all the elements of C . [ 1 0 marks ] (...

Q:

Problem 4 ( 2 points ) : Suppose C is a binary ( n , M , 1 ) - code. Explain how to construct a ( 2 n + 1 , M , 3 ) - code out of C . Verify that your resulting code has minimal distance 3 . ( Hint:...

Q:

Suppose C is a binary code with parity-check matrix H Show that the extended code C, obtained from C by Suppose C is a binary code with parity-check matrix H Show that the extended code C, obtained...

Q:

could you help me with parts (ii) and (iii) please (b) Let C be the binary (4, 2)- code with generator matrix (1 0 0 1 0 1 1 1). (i) Write down the code words of C. (ii) Construct a table of coset...

Q:

54. Let C be a binary (15,10) cyclic code generated by 8(x)= (x+1)(x++1) and C be another binary (15,10) cyclic code generated by h(x) = (x+1)(x+x+1). (1) Is (11011 00101 00000) C C? (ii) What is...

Q:

5. Suppose C is a binary linear code with parity matrix 0 1 1 H = 0 10 0 1 10 0 (i) Find dim C. (ii) Find all the elements in C

Q:

// Enzyme Project for C Computer Operating Systems /* --QUESTIONS-- 1) Briefly explain why this application would be difficult to write using multiple processes instead of threads. 2) What is the...

Q:

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Q:

Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...

Q:

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q:

6. (50 points) HeapSort and running time analysis: (1) Using the example covered in class as a model, illustrate the operation of HeapSort on the array A = [12, 5, 33, 10, 25, 7, 4, 17, 9, 28]. - (2)...

Q:

Using Zimmerman-Traxler transitions state models, explain why the observed C(3)C(4) stereochemistry is formed in product (C). Is this the syn or anti isomer? (10 marks) LDA THF -78 C Meeo. Me Me 'Bu...

Q:

how to Calculate revenue recognition on a one - year contract when portions of the contract cover 2 different years.

Q:

An office building has three floors of rentable space with a single tenant on each floor. The first floor has 20,000 square feet of rentable space and is currently renting for $15 PSF. Three years...

Q:

6. Understand the difference among a universalistic, a relativist, and a dialogic approach to the study of ethics and intercultural communication.

Q:

3. What are some of the potential challenges organizations face as they become more diverse?

Q:

4. Why is it important to think beyond ourselves as individuals in intercultural interaction?