Linear block codes

It is a simple error control coding technique used for error detection and correction. Information data is partitioned into blocks of length K pieces for example Information word. Also, n = k + r, where 'r ' denotes the parity bits or check bits added to every information word.

1. Why linear block codes are called linear?
2. What is the advantage of linear block code?
3. What are few examples of linear codes?

Why linear block codes are called linear?

In the linear block codes, the parity bits and message bits have a linear combination, which means that the resultant code word is the linear combination of any two code words. Let us consider some blocks of data, which contains k bits in each block. These bits are mapped with the blocks which has n bits in each block.

What is the advantage of linear block code?

Single error correcting and double error detecting code. simplest technique to detect and correct errors. ➢ Error probability is reduced. ➢ Transmission bandwidth requirement is more.

What are few examples of linear codes?

Explanation: Some examples of linear codes are block codes, parity codes, reed-Solomon codes, hamming code, cyclic codes, polynomial codes, go-lay codes etc.