Error correction code with code rate 3/4

1. What is the code rate in Error Control Coding?
2. Which code is used for error correction?
3. How do you calculate coding rate?
4. What is error correction with example?

What is the code rate in Error Control Coding?

The ratio k/n is the code rate. It is denoted by r and the value of r is r < 1. The n−k bits added here, are parity bits. Parity bits help in error detection and error correction, and also in locating the data.

Which code is used for error correction?

Hamming Code. Hamming code is useful for both detection and correction of error present in the received data. This code uses multiple parity bits and we have to place these parity bits in the positions of powers of 2.

How do you calculate coding rate?

The code rate is R = k/n. The Hamming distance d between two codewords is the number of positions by which they differ. For example, the codewords 110101 and 111001 have a distance of d = 2.

What is error correction with example?

The most classic example of error-correction is the repetition code, where for each bit in an input message, we duplicate each bit multiple times. For example, if you had the message 01101 we could encode it using this repetition method and it would become 000 111 111 000 111 .