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Reed-Muller codes

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

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

... RM codes are known to achieve capacity over the BEC, our results do not imply that the gap to capacity of these codes at a fixed error probability scales like O(1/ √ N ...

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The automorphism group of the generalized Reed-Muller codes

The automorphism group of the generalized Reed-Muller codes

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

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Lifted projective Reed–Solomon codes

Lifted projective Reed–Solomon codes

... decodable codes (LDC) and locally correctable codes (LCC) are codes equipped with a probabilistic algorithm which can efficiently decode or correct a single symbol of a noisy codeword, by querying ...

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Enhanced Recursive Reed-Muller Erasure Decoding

Enhanced Recursive Reed-Muller Erasure Decoding

... for Reed-Muller codes based on Plotkin construc- ...speed, Reed-M¨uller codes are an interesting alternative for the packet erasure channel, when the decoding cost is a bottleneck ...

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Enhanced Recursive Reed-Muller Erasure Decoding

Enhanced Recursive Reed-Muller Erasure Decoding

... for Reed-Muller codes based on Plotkin construc- ...speed, Reed-M¨uller codes are an interesting alternative for the packet erasure channel, when the decoding cost is a bottleneck ...

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Etude du décodage des codes de Reed-Muller et application à la cryptographie.

Etude du décodage des codes de Reed-Muller et application à la cryptographie.

... of Reed-Muller codes of second ...the Reed-Muller codes which constitute one of the classes of error correcting codes the most studied, and most used in numerical ...these ...

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Interaction of reed and acoustic resonator in clarinetlike systems

Interaction of reed and acoustic resonator in clarinetlike systems

... of reed-bore coupling are considered, from the pioneering work of Wilson and Beavers [“Operating modes of the clarinet”, ...the reed damping in the selection of the register the instrument will play on, the ...

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Concatenated codes.

Concatenated codes.

... ise of that theorem was great: a probability of error exponentially small in the block length at any information rate below channel capacity.. Finding a way of im[r] ...

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Behavior of reed woodwind instruments around the oscillation threshold

Behavior of reed woodwind instruments around the oscillation threshold

... The input impedance Z of the tube links the pressure and the volume flow in the frequency domain through: P (ω) = Z(ω)U (ω). (2) It takes into account the resonator acoustical behavior and, possibly, the reed ...

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

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

... Separable codes that are optimal in terms of erasure correction ...systematic codes, which means that the k source symbols are part of the encoding ...of codes is very ...

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Codes de Reed-Muller et cryptanalyse du registre filtré.

Codes de Reed-Muller et cryptanalyse du registre filtré.

... des codes de Reed-Muller n’´etant pas connue pour la plupart d’entre eux, on en est r´eduit ` a une borne tr`es g´en´erale qui n’utilise que leurs longueur, dimension et distance ...des codes ...

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Les Q-Codes

Les Q-Codes

...  J’ai analysé le contenu de 1600 abstracts de médecine de.. famille.[r] ...

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Muller C-element based Decoder (MCD): A decoder against transient faults

Muller C-element based Decoder (MCD): A decoder against transient faults

... called Muller C-element Decoding (MCD), which has been proposed for fault masking in logic circuits comprised of unreliable ...cascaded Muller C-elements and XOR gates to achieve efficient error-correction ...

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LT Network Codes: Low Complexity Network Codes

LT Network Codes: Low Complexity Network Codes

... work codes from LT codes, which can be decoded in O(mn log n) ...LT codes into new low complexity network ...LT codes in Section 2 before presenting our recoding algorithm in Section ...

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Séminaires de Codes Canada : découvrez les nouvelles éditions des codes!

Séminaires de Codes Canada : découvrez les nouvelles éditions des codes!

... des codes à l’échelle du ...des codes comprennent des séminaires et des présentations sur place ainsi que des présentations en ligne et des ...des codes, ce guide fournit des renseignements détaillés ...

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Les codes correcteurs

Les codes correcteurs

... q et vaut 0, 850306 si p = 0, 9. En effet, soit aucune erreur ne s’est produite soit une erreur s’est produite. Pour conclure, on peut comparer les deux codes rencontr´es dans cet expos´e. Avec le code R3 (triple ...

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Turbo codes with rate-m/(M+1) constituent convolutional codes

Turbo codes with rate-m/(M+1) constituent convolutional codes

... In practice, the circular encoding of a data block consists of a two-step process [9]. At the first step, the information sequence is encoded from state 0 and the final state is memorized. During this first step, the ...

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Etude d'une certaine construction des codes definis par les graphes: codes TLDPC

Etude d'une certaine construction des codes definis par les graphes: codes TLDPC

... Figure 3.10: Performance of family-A codes of length 2000 (left) and 4000 (right) of rate 1/2 on the Gaussian channel, Λ(x) = x. We compare the family-A code [16000, 8000] with a duo-binary turbo code of the same ...

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Turbo-codes quantiques

Turbo-codes quantiques

... 2 Codes correcteurs d’erreurs quantiques D’apr`es la th´eorie de la m´ecanique quantique, l’ensemble des ´etats dans lesquels un syst`eme physique peut se trouver est plus riche que l’ensemble des ´etats permis ...

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LT Network Codes

LT Network Codes

... network codes [21] (RLNC) alleviate the need for global coordination between intermediary nodes by generating at each node random linear combinations of previously received encoded ...

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