The relation between the K-sets and coding theory

The main aim of this paper is to introduce the relationship between the topic of coding theory and the sets of size k , k=3, … ,10 in.the projective line of order 29. The generator matrix of a code C with the parameters [n, k, d] and the parity-check matrix of a dual code C⟘ with the parameters [n, n−k, d⟘ ] are found. The points of a code C of k-set and the elements of a dual code C⟘ of the k-set have been calculated.