Composed Reed Solomon Sequences Generated by ith Partial Sum of Geometrical Sequences
Math. Sci. Dep. Col. of Arts Sci. & Edu. Ahlia Uni. Manam, Bahrain, Dr. Ahmad Hamza Al Cheikha · American Journal of Computer Sciences and Applications · 2017
Reed–Solomon codes are an important group of error-correcting that were introduced by Irving S. Reed and Justine Solomon in 1960. They used in the error coding control, special in systems that have two way communication channels in two externally applications: deep telecommunications and the compact disc. They have many important applications, the most prominent of which include consumer technologies such as CDs, DVDs, Blue-ray Discs, QR Codes, data transmission, technologies such as DSL and Wi MAX, broadcast, systems such as DVB and ATSC, and storage systems such as RAID 6 . They are also used in satellite communication. This research is useful to generate new Reed Solomon Codes and their composed sequences using the ith partial sum of geometrical sequences with the bigger lengths and the bigger minimum distance that assists to increase secrecy of these information and increase the possibility of correcting mistakes resulting in the channels of communication.