Question: Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D6 + D + D12 is a generator polynomial of this code.

Consider a (15,3) cyclic code. a) Show that g(D) = 1

Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D6 + D + D12 is a generator polynomial of this code. [4 marks) b) Suppose a codeword has been transmitted across a channel and the received sequence is represented as the polynomial r(D) = 1 + D2 + D5 + D6 + D8 + D14. Find the syndrome (in polynomial form). [5 marks)

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!

Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D + D + D12 is a generator polynomial of this code. [4 marks] b) Suppose a codeword has been transmitted across a channel and the received...

3. Two mining companies, Red and Blue, bid for the right to drill a eld. The possible bids are $3 15 Million, $ 25 Million, $ 35 Million, $ 45 Million and $ 50 Million. The winner is the company with...

I have an excel assignment and need help with the below questions, from D1 to D12. Really need help Below are the additional sheets THIS BELOW IS THE BOM SHEET Section D 19 D1 1 D2 1 D3 2 D4 1 The...

A discrete sequence {xn} can be converted into a continuous representation x(t) = ts X n= (t n ts) xn, where ts is the sampling period. (a) State two characteristic properties of Dirac's function. [2...

Need help with D1 to D12 Section D 19 D1 1 D2 1 D3 2 D4 1 The following are to be completed in the CVP Analysis Worksheet B6 and C6 contain the number of units sold for the two different product...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Q1 a 8 Describe the method for calculation of source entropy H(X) from a 1* order Markov source where outputs symbols belong to GF(2). b For the given 1* Order Markov Source calculate the source...

1. (a) What is meant by a cyclic error-control code? Explain your answer by suitable examples (at least 2). (b) Can cyclic codes be non-linear? Explain your answer by suitable examples (at least 2)....

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

A solvent-recovery plant consists of a plate-column absorber and a plate-column stripper. Ninety percent of the benzene (B) in the gas stream is recovered in the absorption column. Concentration of...

What are the defaults ports used in linux ftp server ? What Is Active and Passive Mode? How would you manage number of FTP clients that connect to your FTP server? How to limit the FTP login attempts...

Preferred stock owners enjoy a preference of voting rights as the owners of the preferred stock True or false

A sandwich is a popular lunch item that is usually comprised of meat, cheese, vegetables, bread etc. Jacob 's sibling and their friends commonly ate sandwiches when hanging out in the Great Hall....