Composed Reed Solomon Sequences Generated by ith Partial Sum of Geometrical Sequences

Composed Reed Solomon Sequences Generated by ith Partial Sum of Geometrical Sequences

Dr. Ahmad Hamza Al Cheikha

Math. Sci. Dep. Col. of Arts Sci. & Edu. Ahlia Uni. Manam, Bahrain

American Journal of Computer Sciences and Applications

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.

Keywords: Minimal polynomial; Minimum distance; BCH Sequences; Reed-Solomon sequences; Quasi- orthogonal Sequences; Orthogonal sequences; Code; Span.

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How to cite this article:
Ahmad Hamza Al Cheikha. Composed Reed Solomon Sequences Generated by ith Partial Sum of Geometrical Sequences. American Journal of Computer Sciences and Applications, 2017; 1:2. DOI: 10.28933/ajcsa-2017-09-12-01.


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