Abstract:
This dissertation is a report on linear codes. It is shown that linear codes can be applied in forward ermr
correction. It is shown that linear codes are a methodfor transmitting extra symbols or bits to a message
prior
to its transmission through a nosy communication channel so that if error occurs in the
communication some error can
be detected or corrected by recipient of a message block. A method of
presenting linear codes is described. It is established that linear codes can be presented using basis or
generator matrix. Moreover, it
is shown that the validity of the transmitted codeword can be checked
using parity check matrix.
It is also discussed that some decoding scheme and the capability of error
detecting and error correcting
oflinear codes is established.