Procedure

Part-1: Preliminaries

There are two tasks in the Preliminaries section.

Procedure for Linear-Independence:

• The objective of this task is to find whether the given vectors are linearly independent or not.
• There are three examples. Attempt all of them.
• In each example, enter the values of $a_1, a_2, a_3, a_4 \in \\{0, 1\\}$ in the corresponding fields.
• Determine whether the vectors are linearly independent or not by choosing one of the options from the drop-down and click on Submit.
• The correctness of the entered answer is displayed in Observations.
• Next - Displays the next example.
• Previous - Displays the previous example.

Procedure for Vector Space:

• The objective of this task is to find the vector space spanned by the given vectors.
• There are three examples. Attempt all of them.
• There are 16 vectors in the first box. To select a vector, click on it. It appears in the second box.
• To deselect a vector from the second box, click on it. It appears back in the first box.
• After selecting the required vectors, click on Submit.
• The correctness of the entered answer is displayed in Observations.

Part-2: Linear Block Codes

There are five tasks in the Linear Block Codes section.

Procedure for Block Codes:

• The objective of this task is to find the parameters of the given block codes.
• There are four examples. Attempt all of them.
• Enter the values of the parameters in the given fields and click on Submit.
• The rate should be rounded to 2 decimal places.
• The correctness of the entered answer is displayed in Observations.
• Next - Displays the next example.
• Previous - Displays the previous example.

Procedure for Encoding-REP:

• The objective of this task is to understand the encoding procedure of a repetition code.
• First enter a binary message and click on Submit.
• The entered message will be displayed in Observations.
• Encode the message using an REP-3 Code and click on Submit.
• The correctness of the entered answer is displayed in Observations.
• If the answer is correct, click on Reset to try these steps again with a different binary message.

Procedure for Encoding-SPC:

• The objective of this task is to understand the encoding procedure of a single parity check code.
• First enter a binary message and click on Submit.
• The entered message will be displayed in Observations.
• Encode the message using a (3, 2) Single Parity Check Code and click on Submit.
• The correctness of the entered answer is displayed in Observations.
• If the answer is correct, click on Reset to try these steps again with a different binary message.

Procedure for Majority Logic Decoding:

• The objective of this task is to find the decoded message by performing majority logic decoding on a received bitstream.
• Enter the decoded message and click on Submit.
• The correctness of the entered answer is displayed in Observations.
• Next - Displays the next example. Solve sufficient number of examples.

Procedure for Error Detection:

• The objective of this task is to detect whether a received codeword has an error or not.
• Choose an option from the drop-down and click on Submit.
• The correctness of the entered answer is displayed in Observations.
• Next - Displays the next example. Solve sufficient number of examples.