New Entanglement-Assisted Quantum MDS Codes Derived From Generalized Reed-Solomon Codes
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-020-04403-6
Abstract: Entanglement-assisted quantum error-correcting codes (abbreviate to EAQECCs) expand the usual paradigm of quantum error correction by allowing two parties to make use of pre-shared entanglement. It is well-known that we can construct an EAQECC from… read more here.
Keywords: assisted quantum; reed solomon; quantum mds; generalized reed ... See more keywords
Efficient Berlekamp-Massey Algorithm and Architecture for Reed-Solomon Decoder
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Signal Processing Systems"
DOI: 10.1007/s11265-015-1094-1
Abstract: This paper presents a novel area-efficient key equation solver (KES) architecture for the syndrome-based Reed-Solomon (RS) decoders. We develop the compensated simplified reformulated inversionless Berlekamp-Massey (CS-RiBM) algorithm, which is proved to successfully remove unnecessary computations… read more here.
Keywords: reed solomon; efficient; architecture; berlekamp massey ... See more keywords
Some quantum MDS codes with large minimum distance from generalized Reed-Solomon codes
Sign Up to like & getrecommendations! Published in 2017 at "Cryptography and Communications"
DOI: 10.1007/s12095-017-0274-1
Abstract: Quantum maximum-distance-separable (MDS) codes are a significant class of quantum codes. In this paper, we mainly utilize classical Hermitian self-orthogonal generalized Reed-Solomon codes to construct five new classes of quantum MDS codes with large minimum… read more here.
Keywords: mds codes; reed solomon; distance; generalized reed ... See more keywords
Performance analysis of concatenated Reed–Solomon and next generation polar codes for 6G communication systems
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DOI: 10.1038/s41598-025-13672-2
Abstract: Burst errors are common in high data rate communication, such as in the Six-Generation (6G) communication system, which degrades its ultra-high reliability requirements. In this study, we have demonstrated how Reed-Solomon codes can be combined… read more here.
Keywords: generation; document; communication; usepackage ... See more keywords
Efficient Low-Complexity Decoding of CCSDS Reed–Solomon Codes Based on Justesen’s Concatenation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2905966
Abstract: Forward error correction (FEC) is a key capability in modern satellite communications that provide the system designer with the needed flexibility to comply with the different applications’ requirements. Reed–Solomon (RS) codes are well known for… read more here.
Keywords: tex math; code; inline formula; reed solomon ... See more keywords
Improved Adaptive Belief Propagation Decoding of Reed-Solomon Codes With SPC Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2022.3167989
Abstract: In this letter, two novel single parity-check aided (SPC-aided) adaptive belief propagation (ABP) decoding algorithms are proposed for Reed-Solomon (RS) codes. SPC codes can be used to evaluate the reliability of the information bits in… read more here.
Keywords: spc; spc codes; reed solomon; adaptive belief ... See more keywords
Fast En/Decoding of Reed-Solomon Codes for Failure Recovery
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Computers"
DOI: 10.1109/tc.2021.3060701
Abstract: Reed-Solomon (RS) codes are used in many storage systems for failure recovery. In popular software implementations, RS codes are defined by using a parity check matrix that is either a Cauchy matrix padded with an… read more here.
Keywords: vandermonde matrix; mml; mml mml; reed solomon ... See more keywords
Construction of Reed-Solomon Erasure Codes With Four Parities Based on Systematic Vandermonde Matrices
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Computers"
DOI: 10.1109/tc.2024.3387069
Abstract: In 2021, Tang et al. proposed an improved construction of Reed-Solomon (RS) erasure codes with four parity symbols to accelerate the computation of Reed-Muller (RM) transform-based RS algorithm. The idea is to change the original… read more here.
Keywords: construction reed; erasure; vandermonde; construction ... See more keywords
Repairing Reed-Solomon Codes With Multiple Erasures
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2018.2827942
Abstract: Despite their exceptional error-correcting properties, Reed–Solomon (RS) codes have been overlooked in distributed storage applications due to the common belief that they have poor repair bandwidth. A naive repair approach would require for the whole… read more here.
Keywords: reed solomon; repairing reed; multiple erasures; solomon codes ... See more keywords
Deep Holes of Projective Reed-Solomon Codes
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2019.2940962
Abstract: Projective Reed-Solomon (PRS) codes are Reed-Solomon codes of the maximum possible length $q+1$ . The classification of deep holes –received words with maximum possible error distance– for PRS codes is an important and difficult problem.… read more here.
Keywords: deep holes; solomon codes; reed solomon; prs codes ... See more keywords
MDS, Near-MDS or 2-MDS Self-Dual Codes via Twisted Generalized Reed-Solomon Codes
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3190676
Abstract: Twisted generalized Reed-Solomon (TGRS) codes are a family of codes that contains a large number of maximum distance separable (MDS) codes that are non-equivalent to generalized Reed-Solomon (GRS) codes. In this paper, we characterize a… read more here.
Keywords: mds; reed solomon; self dual; generalized reed ... See more keywords