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Code de Reed Solomon

Les codes de Reed Solomon: étude et simulation.

Les codes de Reed Solomon: étude et simulation.

... d’un code linéaire, la matrice de contrôle d’un code linéaire, la distance minimale d’un code linéaire, le décodage d’un code linéaire, les codes parfaits et les codes ...d’un code de ...

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Complexity Comparison of the Use of Vandermonde versus Hankel Matrices to Build Systematic MDS Reed-Solomon Codes

Complexity Comparison of the Use of Vandermonde versus Hankel Matrices to Build Systematic MDS Reed-Solomon Codes

... systematic Reed- Solomon codes since their introduction in 1985, in ...Hankel Reed-Solomon codec, derived from a well- known Vandermonde Reed-Solomon codec for the erasure ...RS ...

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Algebraic Soft- and Hard-Decision Decoding of Generalized Reed--Solomon and Cyclic Codes

Algebraic Soft- and Hard-Decision Decoding of Generalized Reed--Solomon and Cyclic Codes

... cyclic code into a cyclic product code is the basis of bound ...a code into a product code is extended by bound II and ...cyclic code into a cyclic product code can be extended ...

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Performance of random linear network codes concatenated with reed-solomon codes using turbo decoding

Performance of random linear network codes concatenated with reed-solomon codes using turbo decoding

... AP can accomplish network decoding with high probability as long as it has received at least K independent packets. A straightforward solution is to let AP do the network decoding. After getting the original packets, the ...

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A comparative evaluation of high-level hardware synthesis using Reed-Solomon decoder

A comparative evaluation of high-level hardware synthesis using Reed-Solomon decoder

... that different branches take equal amount of time, while we are trying to exploit the imbalance in branches. To further improve the performance and synthesis results, we made use of common guidelines [14] for code ...

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Good coupling between LDPC-Staircase and Reed-Solomon for the design of GLDPC codes for the Erasure Channel

Good coupling between LDPC-Staircase and Reed-Solomon for the design of GLDPC codes for the Erasure Channel

... LDPC code, where N is the code length and K is its dimension, can be graphically represented as a bipartite graph with N ”variable nodes” (VN) and M = N −K ”check nodes” ...

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Enhanced Recursive Reed-Muller Erasure Decoding

Enhanced Recursive Reed-Muller Erasure Decoding

... 7) code (k = 64, n = 128), in terms of ...RM(3,7) code is in the order of 4Gbps, and the decoding speed of a Reed- Solomon code with the same parameters is around 350Mbps ...

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Enhanced Recursive Reed-Muller Erasure Decoding

Enhanced Recursive Reed-Muller Erasure Decoding

... 7) code (k = 64, n = 128), in terms of ...RM(3,7) code is in the order of 4Gbps, and the decoding speed of a Reed- Solomon code with the same parameters is around 350Mbps ...

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Reed-solomon forward error correction (FEC) schemes, RFC 5510

Reed-solomon forward error correction (FEC) schemes, RFC 5510

... 6.1. Determining the Maximum Source Block Length (B) The finite field size parameter, m, defines the number of non-zero elements in this field, which is equal to: q - 1 = 2^^m - 1. Note that q - 1 is also the theoretical ...

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Simple Reed-Solomon Forward Error Correction (FEC) Scheme for FECFRAME, RFC 6865

Simple Reed-Solomon Forward Error Correction (FEC) Scheme for FECFRAME, RFC 6865

... The finite field size parameter m defines the number of non-zero elements in this field, which is equal to: q - 1 = 2^^m - 1. This q - 1 value is also the theoretical maximum number of encoding symbols that can be ...

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Lifted projective Reed–Solomon codes

Lifted projective Reed–Solomon codes

... 6.1 Information rate In this section, we emphasize how projective lifted codes surpasses projective Reed-Muller codes in terms of code rate (the local correcting capability being fixed). In Figure 1, we ...

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Du code aux modèles, des modèles au code: enseigner les langages dédiés (DSL)

Du code aux modèles, des modèles au code: enseigner les langages dédiés (DSL)

... Nous proposons un cours  brique de base  sur 8 semaines, qui pourra servir de fondation à des cours plus avancés via des extensions. L'objectif est de permettre aux étudiants d'acquérir des connaissances et compétences ...

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Sludge drying reed beds for septage treatment: towards design and operation recommendations

Sludge drying reed beds for septage treatment: towards design and operation recommendations

... drying reed bed pilot-scale experiments fed with septage (result will be compared to those fed with activated sludge), (iii) design and operation conditions improvement in the French ...

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Générateur de code multi-temps et optimisation de code multi-objectifs

Générateur de code multi-temps et optimisation de code multi-objectifs

... Les versions statique et LLVM O3 obtiennent les même performances, attei- gnant 66 % performance maximale théorique. Le noyau est produit par la même partie arrière dans les 2 cas, le code résultant est donc ici ...

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A Psycho-Thematic Reading of Solomon Northup’s Twelve Years a Slave (1853)

A Psycho-Thematic Reading of Solomon Northup’s Twelve Years a Slave (1853)

... Abstract The history of the United States is rampant with racism. Slavery is one form of it. Accordingly, black people were offensively, cruelly and brutally treated throughout their history in the US. Along their ...

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Almost Optimal Scaling of Reed-Muller Codes on BEC and BSC Channels

Almost Optimal Scaling of Reed-Muller Codes on BEC and BSC Channels

... I. I NTRODUCTION Consider a binary linear code of length N and minimum distance d min . Assume that we transmit over the binary erasure channel (BEC) with parameter ǫ, 0 < ǫ < 1, or the binary symmetric ...

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Purification performances of common reed beds based on the residence time: Case of Benin

Purification performances of common reed beds based on the residence time: Case of Benin

... The reed bed Diagram 1 : The three layers of gravel Many types of reed grow in the town of ...The reed bed was fed for two months with slightly concentrated wastewater that comes from one of the ...

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Vérification de code-octet avec sous-routines par code-certifié

Vérification de code-octet avec sous-routines par code-certifié

... Notre technique est inspirée du travail présenté par Rose [RosR98] [Rose02], mais va plus loin en proposant un format de certificat différent qui permet à notre al[r] ...

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Le code épigénétique des histones

Le code épigénétique des histones

... vent dans certains cas s’établir sur de très grandes dis- tances, permettant à la cellule de co-régler plusieurs gènes à l’intérieur de locus chromosomiques. Ce méca- nisme peut également permettre la transmission de ...

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Mesopelagic N2 Fixation Related to Organic Matter Composition in the Solomon and Bismarck Seas (Southwest Pacific)

Mesopelagic N2 Fixation Related to Organic Matter Composition in the Solomon and Bismarck Seas (Southwest Pacific)

... Of the observed heterotrophic diazotrophic phylotypes, it is unclear which ones contributed to the N 2 fixation rates measured or in what proportion. Finding cyanobacterial sequences related to Trichodesmium at depths ...

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