Classification of the projective line of order nineteen and its application to error-correcting codes

الملخص EN

In this paper, the k -sets in the projective line of order nineteen up to k 10 are classified and their stabilizer groups also computed.

Also, the projective line spilt into five tetrads of type harmonic, equianharmonic and neither harmonic nor equianharmonic.

Finally, the applications of these sets into error-correcting codes are given.