Reed–Solomon (RS) codes are widely used to identify and correct errors in storage systems and transmission and. When RS codes are used for so many memory system and reduces error in data. (255, 223) product ReedSolomon (RS) for non-volatile NAND flash memory systems. Reed-Solomon codes are the most used in digital data storage systems, but powerful for tool burst errors . To correct multiple ra...

The purpose of this paper is to study and analyze the performance and efficiency of Reed Solomon (RS) coding. In coding theory, Reed Solomon codes are the subset of BCH codes that are one of the most powerful known classes of linear cyclic block codes. Reed Solomon (RS) codes are very efficient and best for correction of burst errors and have a wide range of applications in digital communicatio...

Because of their importance in applications and their quite simple definition, Reed–Solomon codes can be explained in any introductory course on coding theory. However, decoding algorithms for Reed– Solomon codes are far from being simple and it is difficult to fit them in introductory courses for undergraduates. We introduce a new decoding approach, in a self-contained presentation, which we t...

The 17 December 2016 Solomon Islands earthquake (Mw 7.9) initiated ~103 km deep in the subducting Solomon Sea slab near the junction of the Solomon Islands and New Britain trenches. Most aftershocks are located near the Solomon Islands plate boundary megathrust west of Bougainville, where previous large interplate thrust faulting earthquakes occurred in 1995 (Mw 7.7) and 1971 (Mw 8.0). Teleseis...

In this paper, we present a new class of public key cryptosystem based on Reed-Solomon codes, a member of the code based PKC(CBPKC), referred to as K(XII)SE(1)PKC. We show that K(XII)SE(1)PKC can be secure against the various attacks. Particularly we present a member of K(XII)SE(1)PKC constructed based on the Reed-Solomon code over the extension field F28 , which is extensively used in the pres...

The Orlik-Solomon algebra of a matroid can be considered as a quotient ring over the exterior algebra E . At first we study homological properties of E-modules as e.g. complexity, depth and regularity. In particular, we consider modules with linear injective resolutions. We apply our results to Orlik-Solomon algebras of matroids and give formulas for the complexity, depth and regularity of such...

s of the 12th Annual Goldschmidt Conference, V. M., Geochim. Cosmochim. Acta, 66(15A), 580. Phinney, E. J., et al. (1999), Sequence stratigraphy, structure, and tectonic history of the southwestern Ontong Java Plateau adjacent to the North Solomon Trench and Solomon islands arc, J. Geophys. Res., 104(B9), 20,449 – 20,466, doi:10.1029/1999JB900169. Phinney, E. J., et al. (2004), Sequence stratig...

We relate the cohomology of the Orlik-Solomon algebra of a discriminantal arrangement to the local system cohomology of the complement. The Orlik-Solomon algebra of such an arrangement (viewed as a complex) is shown to be a linear approximation of a complex arising from the fundamental group of the complement, the cohomology of which is isomorphic to that of the complement with coefficients in ...

Reed-Solomon codes are examples of error correcting codes, in which redundant information is added to data so that it can be recovered reliably despite errors in transmission or storage and retrieval. The error correction system used on CD’s and DVD’s is based on a Reed-Solomon code. These codes are also used on satellite links and other communications systems. We will first discuss the general...