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Solomon codes

Simplification of Procedure for Decoding Reed-Solomon Codes Using Various Algorithms: An Introductory Survey

Simplification of Procedure for Decoding Reed-Solomon Codes Using Various Algorithms: An Introductory Survey

... Abstract— Reed-Solomon codes are very useful and effective in burst error in noisy environment. In decoding process for 1 error or 2 errors create easily with using procedure of Peterson-Gorenstein –Zierler ...

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Stream Cipher by Reed-Solomon Codes

Stream Cipher by Reed-Solomon Codes

... based stream cipher with a security reduction,” in IEEE Inter- national Symposium on Information Theory, 2007, pp. 186–190. [8] M. Yan, A. Sprintson, and I. Zelenkoy, “Weakly secure data ex- change with generalized reed ...

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List Decoding of Generalized Reed Solomon Codes by Using a Modified Extended Key Equation Algorithm

List Decoding of Generalized Reed Solomon Codes by Using a Modified Extended Key Equation Algorithm

... This work presents a modified extended key equation algorithm in list decoding of generalized Reed-Solomon (GRS) codes. A list decoding algorithm of generalized Reed-Solomon codes has two ...

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How Reed-Solomon Codes Can Improve Steganographic Schemes

How Reed-Solomon Codes Can Improve Steganographic Schemes

... paper codes and active warden. Section 4 presents the classical Reed-Solomon codes and gives details on the necessary tools to use them with syndrome coding, notably the Guruswami-Sudan list decoding ...

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International Journal of Computer Science and Mobile Computing

International Journal of Computer Science and Mobile Computing

... Reed Solomon (RS) code, does not incur any penalty for erasures at the ...Turbo-like codes, which operate very close to capacity, incur only a minor overhead due to erasures at the ...Reed-Solomon ...

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New approaches to the analysis and design of Reed Solomon related codes

New approaches to the analysis and design of Reed Solomon related codes

... Reed-Solomon codes. Our algorithm is based on enhancing the soft reliability channel information before passing them to an algebraic soft-decision decoding algorithm. This was achieved by deploying the ...

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A  Distinguisher-Based  Attack  of  a  Homomorphic  Encryption    Scheme  Relying  on  Reed-Solomon  Codes

A Distinguisher-Based Attack of a Homomorphic Encryption Scheme Relying on Reed-Solomon Codes

... Reed-Solomon codes than for Goppa codes because, whereas for Goppa codes it is only successful for rates close to 1, it can distinguish Reed-Solomon codes of any rate from random ...

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Nearly  Optimal  Robust  Secret  Sharing

Nearly Optimal Robust Secret Sharing

... The techniques that we use are remarkably simple to describe as well. To prove robustness, we first use an efficient list decoding algorithm of folded Reed-Solomon codes [GR08] to show that the ...

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A STUDY & VHDL IMPLEMENTATION OF REED SOLOMON ERROR CORRECTING CODES

A STUDY & VHDL IMPLEMENTATION OF REED SOLOMON ERROR CORRECTING CODES

... The decoding procedure for Reed- Solomon codes involves determining the locations and magnitudes of the errors in the received polynomial R(x). Locations are those powers of x (x 2 , x 3 , and others) in ...

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Reed-Solomon Code Performance for M -ary Modulation over AWGN Channel

Reed-Solomon Code Performance for M -ary Modulation over AWGN Channel

... correcting codes are frequently used in coded communication systems and data storage, to get back data from possible errors that take place throughout ...Reed-Solomon codes is the forward error ...

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FPGA Implementation of BIST in OFDM Transceivers

FPGA Implementation of BIST in OFDM Transceivers

... Reed-Solomon codes. These codes are used to encode the data stream that can be passed through communication channels resembling AWGN (Additive White Gaussian Noise) ...

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A Survey on Reed Solomon Encoder and Decoder

A Survey on Reed Solomon Encoder and Decoder

... correction codes are generally used for error detection and ...reed Solomon (RS) is most commonly used FEC code as it detects and corrects the errors on symbol ...Reed Solomon codes are linear ...

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Elaborating on Thick Analysis: About Thoroughness and Creativity in Qualitative Analysis

Elaborating on Thick Analysis: About Thoroughness and Creativity in Qualitative Analysis

... which codes are mutually exclusive categories ...see codes as a technical instrument to sort data (COFFEY & ATKINSON, 1996; RICHARDS & RICHARDS, 1992), while others see it as an instrument only ...

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Reed-Solomon Galois Field Generator Polynomial Block length Bit Error Rate Signal Noise Ratio

Reed-Solomon Galois Field Generator Polynomial Block length Bit Error Rate Signal Noise Ratio

... Reed-Solomon codes are a consequential subset of non-binary cyclic error redressing code and are the most widely used codes in ...These codes are utilized in wide range of applications in ...

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Implementation and modeling of parametrizable high-speed Reed Solomon decoders on FPGAs

Implementation and modeling of parametrizable high-speed Reed Solomon decoders on FPGAs

... Derived from BCH-codes (Clark and Cain, 1981; Hamming, 1980), RS-codes (Reed and Chen, 1999) are able to cor- rect symbols instead of bits. As all bits in a symbol can be corrupt, the decoding algorithm not ...

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Reed Solomon Turbo Product Codes for Optical Communications: From Code Optimization to Decoder Design

Reed Solomon Turbo Product Codes for Optical Communications: From Code Optimization to Decoder Design

... product codes (TPCs) based on binary Bose-Chaudhuri-Hocquenghem (BCH) codes are an e ffi cient and mature technology that has found its way in several (either proprietary or public) wireless transmission ...

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Implementation of Chien Search Algorithm Based Reed Solomon Cyclic Codes for Error Detection at the Receiver using DFT

Implementation of Chien Search Algorithm Based Reed Solomon Cyclic Codes for Error Detection at the Receiver using DFT

... change codes used to recover debased code words in correspondences and limit structures, the Bose– Chaudhuri– Hocquenghem (BCH) code [1], [2] is a champion among the most for the most part used scientific ...

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													Design and analysis of bch-rsc concatenated system with qpsk modulation technique in wireless communication

1. Design and analysis of bch-rsc concatenated system with qpsk modulation technique in wireless communication

... Abstract— In this paper, we conduct performance comparison of RS-RSC concatenated system with BCH-RSC concatenated system. Two models of serially concatenated codes are simulated and tested over AWGN channel using ...

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Comparative Analysis of Error Correcting Codes for Noisy Channel

Comparative Analysis of Error Correcting Codes for Noisy Channel

... correcting codes linear block codes and convolutional ...Block codes process the information on a block by block basis, treating each block of information bits independently from ...

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Recovering  short  secret  keys  of  RLCE  in  polynomial  time

Recovering short secret keys of RLCE in polynomial time

... Finally, we need a very general result concerning modified GRS codes where some arbitrary columns have been joined to the generator matrix. A very similar lemma is already proved in [8, Lemma 9]. Its proof is ...

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