Applications of the PG(3,7) in Coding Theory

Abstract

The good of this paper was to study the applications of the projective space PG(3,q) over a Galois field of order 7 in the projective [n,k,d] _q code such that the parameters length of code n , the dimension of code k , and the minimum distance d with the error- correcting e according to an incidence matrix have been calculated.
Also, this research provides examples and theorems of links between the combinatorial structures and coding theory. The method of the research depends on the constructing of the point and lines and planes in PG(3,q).