Results 1 to 10 of about 106,176 (185)
Twisted Reed-Solomon Codes [PDF]
2017 IEEE International Symposium on Information Theory (ISIT), 2017 We present a new general construction of MDS codes over a finite field $\mathbb{F}_q$. We describe two explicit subclasses which contain new MDS codes of length at least $q/2$ for all values of $q \ge 11$. Moreover, we show that most of the new codes are
Beelen, Peter +2 more
core +9 more sources
Optimized Distributed Generalized Reed-Solomon Coding with Space-Time Block Coded Spatial Modulation [PDF]
Sensors, 2022 We present a well-known generalized Reed–Solomon (GRS) code incorporated with space-time block coded spatial modulation (STBC-SM) for wireless networks, which is capable of enjoying coded cooperation between the source and the relay.
Chunli Zhao +4 more
doaj +2 more sources
On deep holes of generalized Reed-Solomon codes
AIMS Mathematics, 2016 Determining deep holes is an important topic in decoding Reed-Solomon codes. In a previous paper [8], we showed that the received word u is a deep hole of the standard Reed-Solomon codes [q-1, k]q if its Lagrange interpolation polynomial is the sum of ...
Shaofang Hong, Rongjun Wu
doaj +3 more sources
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 ...
Guruswami, Venkatesan, Wootters, Mary
core +3 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
openaire +3 more sources
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
doaj +3 more sources
Decoding Reed–Solomon Skew-Differential Codes [PDF]
IEEE Transactions on Information Theory, 2021 A large class of MDS linear codes is constructed. These codes are endowed with an efficient decoding algorithm. Both the definition of the codes and the design of their decoding algorithm only require from Linear Algebra methods, making them fully accesible for everyone.
Jose Gomez-Torrecillas +2 more
openaire +5 more sources