Results 1 to 10 of about 348,162 (217)
The automorphisms and error orbits of Reed – Solomon codes
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020 The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
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Symbol-level iterative information set decoding of RS codes
Alexandria Engineering Journal, 2023 This paper presents the implementation of a low-complex iterative symbol-level decoding scheme for Reed-Solomon codes. Most soft-decision iterative decoders for Reed-Solomon codes work on a bit level due to the efficient passing of soft information due ...
Yuval Genga +2 more
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Twisted reed-solomon codes [PDF]
2017 IEEE International Symposium on Information Theory (ISIT), 2017 In this article, we present a new construction of evaluation codes in the Hamming metric, which we call twisted Reed-Solomon codes. Whereas Reed-Solomon (RS) codes are MDS codes, this need not be the case for twisted RS codes. Nonetheless, we show that our construction yields several families of MDS codes. Further, for a large subclass of (MDS) twisted
Peter Beelen +2 more
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Repairing Reed-solomon codes [PDF]
Proceedings of the forty-eighth annual ACM symposium on Theory of Computing, 2016 We study the performance of Reed-Solomon (RS) codes for the \em exact repair problem \em in distributed storage. Our main result is that, in some parameter regimes, Reed-Solomon codes are optimal regenerating codes, among MDS codes with linear repair schemes.
Venkatesan Guruswami, Mary Wootters
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Balanced Reed-Solomon codes [PDF]
2016 IEEE International Symposium on Information Theory (ISIT), 2016 We consider the problem of constructing linear Maximum Distance Separable (MDS) error-correcting codes with generator matrices that are sparsest and balanced. In this context, sparsest means that every row has the least possible number of non-zero entries, and balanced means that every column contains the same number of non-zero entries.
Halbawi, Wael +2 more
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Development and Validation of an optimized syndromes block for reed solomon decoder [PDF]
ITM Web of Conferences, 2023 Reed Solomon decoder plays an indispensable role in many applications involving data transmission, storage applications and Video broadcasting DVB-T and DVB-S2.
Mohamed Elghayyaty +4 more
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Analisa Kinerja Pengkodean Kanal Type Reed Solomon Coding pada Kualitas Transmisi Citra
Jurnal Nasional Teknik Elektro, 2018 Dalam sistem telekomunikasi, data multimedia berupa audio, citra, dan video ditransmisikan ke penerima melalui sebuah kanal komunikasi. Pada sistem telekomunikasi yang menggunakan kanal komunikasi wireless, selain pengaruh redaman, gangguan yang paling ...
Baharuddin
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Quantum Reed—Solomon Codes [PDF]
, 1999 After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed.
Markus Grassl +2 more
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Weighted Reed–Solomon convolutional codes
Linear and Multilinear Algebra, 2023 In this paper we present a concrete algebraic construction of a novel class of convolutional codes. These codes are built upon generalized Vandermonde matrices and therefore can be seen as a natural extension of Reed-Solomon block codes to the context of convolutional codes.
Alfarano, Gianira +3 more
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Mathematics, 2020 We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional Schur
Austin Allen +6 more
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