Secure encryption over the ring F2+uF2+vF2+uvF2 via the cyclic codes

This study consists of four sections. In the first section, basic definitions and theorems are given that are used in other sections of study associated with coding theory and algebra. In the second section, one time pad method is introduced and secure encryption method developed using cyclic codes over the ring F2+vF2 is examined. In the third section, the ring of F2+uF2+vF2+uvF2 is examined and the method used in the second section is adapted to this ring. The new encryption model is obtained and exemplified. Secure encryption scheme is created over the ring F2+uF2+vF2+uvF2. In the last section, the conclusions are given and new problems related to the encryption scheme are proposed.