In analogy with the usual construction of linear codes over fields, we define a generator matrix and a parity check matrix. Trellis construction and bounds on the minimum Euclidean distance are also ...

An (n,k) binary linear block code generates a block of 'n' coded bits called codeword symbols from 'k' bits of information called message using a generator matrix . There are 2^n possible values for ...

The optimal and suboptimal structured algorithms of linear block codes from the geometrical perspective are represented. The minimum distance and weight property lemmas and the theorem are proved for ...