Results 11 to 20 of about 106,176 (185)
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.
Grassl, Markus +2 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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A Topological View of Reed–Solomon Codes
Mathematics, 2021 We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
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Jurnal Nasional Teknik Elektro, 2016 Reed-Solomon (RS) Code and Bose-Chaudhuri-Hocquenghem (BCH) code are cyclic block codes class of error-correting code.Error correcting code is required in communicaton system to reduce error of transmitted information from transmitter to receiver.
Eva Yovita Dwi Utami +2 more
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Hardware/Software Co-design Applied to Reed-Solomon Decoding for the DMB Standard [PDF]
, 2006 This paper addresses the implementation of Reed- Solomon decoding for battery-powered wireless devices. The scope of this paper is constrained by the Digital Media Broadcasting (DMB).
Dam, A.C. +6 more
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Lifted projective Reed–Solomon codes [PDF]
Designs, Codes and Cryptography, 2018 Lifted Reed-Solomon codes, introduced by Guo, Kopparty and Sudan in 2013, are known as one of the few families of high-rate locally correctable codes. They are built through the evaluation over the affine space of multivariate polynomials whose restriction along any affine line can be interpolated as a low degree univariate polynomial. In this work, we
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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 N. +3 more
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List decoding of repeated codes [PDF]
, 2013 Assuming that we have a soft-decision list decoding algorithm of a linear code, a new hard-decision list decoding algorithm of its repeated code is proposed in this article. Although repeated codes are not used for encoding data, due to their parameters,
Hernando, Fernando +2 more
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Reed-Solomon Coded Cooperative Spatial Modulation Based on Nested Construction for Wireless Communication [PDF]
Radioengineering, 2021 This paper proposes the Reed-Solomon coded cooperative spatial modulation (RSCC-SM) scheme based on nested construction of two Reed-Solomon (RS) codes over quasi-static Rayleigh fading channel.
C. L. Zhao, F. F. Yang, D. K. Waweru
doaj
Lifted Multiplicity Codes and the Disjoint Repair Group Property [PDF]
, 2019 Lifted Reed Solomon Codes (Guo, Kopparty, Sudan 2013) were introduced in the context of locally correctable and testable codes. They are multivariate polynomials whose restriction to any line is a codeword of a Reed-Solomon code.
Li, Ray, Wootters, Mary
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