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Reed-Solomon Codes

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 ...

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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

... of 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 ...

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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 ...

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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 ...

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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 ...

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Public  Key  Cryptosystems  Constructed  Based  on  Reed-Solomon  Codes,  K(XV)SE(2)PKC,  Realizing  Coding  Rate  of  Exactly 1.0

Public Key Cryptosystems Constructed Based on Reed-Solomon Codes, K(XV)SE(2)PKC, Realizing Coding Rate of Exactly 1.0

... In this paper, we present a new class of public-key cryptosys- tems, K(XV)SE(2)PKC realizing the coding rate of exactly 1.0, based on Reed-Solomon codes(RS codes). We show that K(XV)SE(2)PKC ...

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New  Classes  of  Public  Key  Cryptosystems  over $F_2^8$  Constructed  Based  on  Reed-Solomon  Codes,  K(XVII)SE(1)PKC   and  K(XVII)$\Sigma  \Pi$PKC

New Classes of Public Key Cryptosystems over $F_2^8$ Constructed Based on Reed-Solomon Codes, K(XVII)SE(1)PKC and K(XVII)$\Sigma \Pi$PKC

... Kasahara “A New Class of Public Key Cryptosystems Constructed Based on Perfect Error-Correcting Codes Realizing Coding Rate of exactly 1.0”, Cryptology ePrint Archive , Report 2010/139 ([r] ...

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4413339 Multiple Error Detecting and Correcting System Employing Reed Solomon Codes Jun81 pdf

4413339 Multiple Error Detecting and Correcting System Employing Reed Solomon Codes Jun81 pdf

... Reed-Solomon encoding means for encoding a 35 data word dx having k symbols upon transfer thereof from the data processing system to said data storage means thereby to produce an n-symbo[r] ...

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Implementation of Reed Solomon Encoder and Decoder for Wireless Communications

Implementation of Reed Solomon Encoder and Decoder for Wireless Communications

... correcting codes are used for error correction and detection of ...correcting codes. Forward error correcting codes are mostly preferred in digital ...correction, reed Solomon ...

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Decoding Reed–Muller Codes over Product Sets

Decoding Reed–Muller Codes over Product Sets

... Faster ReedSolomon decoding with ...decoding ReedSolomon codes with ...our Reed–Muller decoding algorithms, we will invoke FastWeightedRSDecoder with γ set to n −c for some ...

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A Novel Efficient Sphere Decoding with Reed Solomon Code in MIMO Detection

A Novel Efficient Sphere Decoding with Reed Solomon Code in MIMO Detection

... Flat fast fading is taken into consideration with an transmit antenna for MIMO system transmission and receive antennas for reception. All the information bits k are encode through Reed-Solomon codes ...

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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

... product codes and applying them to compute the complete average enu- merators of arbitrary product codes over an arbitrary finite ...product codes required the knowledge of the split weight ...

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A Reed Solomon Coded DS CDMA System Using Noncoherent M ary Orthogonal Modulation over Multipath Fading Channels

A Reed Solomon Coded DS CDMA System Using Noncoherent M ary Orthogonal Modulation over Multipath Fading Channels

... ReedSolomon codes [11] constitute an efficient class of linear codes using multibit symbols and having the capability of correcting/detecting symbol errors and symbol ...RS codes using ...

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Analysis and implementation of Reed Salomon codes for Forward Error Correction using LabVIEW

Analysis and implementation of Reed Salomon codes for Forward Error Correction using LabVIEW

... occur. Reed Solomon codes are type of burst error detecting codes which has got many applications due to its burst error detection and correction ...this Reed Solomon ...

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Implementation of Reed Solomon Decoder for Area Critical Applications
Mrs G Srivani & Mr R S Pratap Singh

Implementation of Reed Solomon Decoder for Area Critical Applications Mrs G Srivani & Mr R S Pratap Singh

... 5.Reed Solomon codes are used to detect the errors in many ...different reed Solomon codes. Reed Solomon codes are used widely in data storage systems and ...

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A Survey on Reed Solomon Encoder and Decoder

A Survey on Reed Solomon Encoder and Decoder

... Modified-Berlekamp-Massey (mBM) algorithm for non binary Galois field which eliminates the inverses. The operation needed for Berlekamp-Massey algorithm and modified Berlekamp-Massey algorithm are same. They need extra ...

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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 mainly used in correcting the burst errors. However it has its own error correcting capability. So, error probability is useful in saving our time for detecting and correcting ...

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Reed-Solomon Coded OFDM with Unique Word as Guard Interval

Reed-Solomon Coded OFDM with Unique Word as Guard Interval

... nonbinary codes that does reach the above bound are the reed- Solomon ...These codes have great power and utility, and are today found in many applications from compact disc players to ...

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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

... RS codes have a no matter how you look at it use to give botch ...RS codes in various conventional applications, for instance, remote correspondence system, connect modem, PC ...memory. Reed ...

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An Area-Efficient Architecture of Reed-Solomon Codec for Advanced RAID Systems Min-An Song, I-Feng Lan, and Sy-Yen Kuo

An Area-Efficient Architecture of Reed-Solomon Codec for Advanced RAID Systems Min-An Song, I-Feng Lan, and Sy-Yen Kuo

... on Reed- Solomon (RS) codes is proposed for erasure correcting in RAID level 6 ...RS codes, here this scheme with a mathematical reduction method, called Reduced Static-Checksum Table ...

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