What is intuitively a syndrome in error correction?

1. What is a syndrome in error correction?
2. What is a syndrome in coding?
3. What is syndrome in communication engineering?

What is a syndrome in error correction?

The pattern of errors, called the error syndrome, identifies the bit in error. If all parity bits are correct, there is no error. Otherwise, the sum of the positions of the erroneous parity bits identifies the erroneous bit.

What is a syndrome in coding?

A method of using error-correcting codes to obtain data compression, called syndrome-source-coding, is described in which the source sequence is treated as an error pattern whose syndrome forms the compressed data.

What is syndrome in communication engineering?

The result of each prescribed parity check upon decoding is generally referred to as a syndrome. In the absence of errors for a linear code, all the syndromes are zero, meaning that the weighted sum of the elements forming each parity check is zero, and the presence of errors is recognized by a non-zero syndrome.