Construction the linear codes in PG (1,31).

The goal of this paper is to construct the linear code, and its dual which corresponding to classification of projective line PG(1,31), we will present Some important results of coding theory, the generator matrix of every linear code in PG(1,31) is found, A parity check matrix is also found . The mathematical programming language GAP was a main computing tool . [ABSTRACT FROM AUTHOR]