Results 21 to 30 of about 33,465 (136)

Subspace subcodes of Reed-Solomon codes [PDF]

open access: yes, 1998
We introduce a class of nonlinear cyclic error-correcting codes, which we call subspace subcodes of Reed-Solomon (SSRS) codes. An SSRS code is a subset of a parent Reed-Solomon (RS) code consisting of the RS codewords whose components all lie in a fixed ...
Hattori, Masayuki   +2 more
core   +1 more source

On deep holes of standard Reed-Solomon codes

open access: yes, 2012
Determining deep holes is an important open problem in decoding Reed-Solomon codes. It is well known that the received word is trivially a deep hole if the degree of its Lagrange interpolation polynomial equals the dimension of the Reed-Solomon code. For
Hong, Shaofang, Wu, Rongjun
core   +1 more source

Quantum Reed-Solomon Codes [PDF]

open access: yes, 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
A. Barenco   +13 more
core   +3 more sources

The Dimension of Subcode-Subfields of Shortened Generalized Reed Solomon Codes

open access: yes, 2011
Reed-Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having a fixed length.
Hernando, Fernando   +2 more
core   +1 more source

Efficient List-Decoding of Reed-Solomon Codes with the Fundamental Iterative Algorithm [PDF]

open access: yes, 2009
International audienceIn this paper we propose a new algorithm that solves the Guruswami-Sudan interpolation step for Reed-Solomon codes efficiently. It is a generalization of the Feng-Tzeng approach, the so-called fundamental iterative algorithm.
Bossert, Martin   +2 more
core   +3 more sources

Performance of the Predicting Risk of Cardiovascular Disease EVENTs (PREVENT) Calculator in Rheumatoid Arthritis

open access: yesArthritis &Rheumatology, Accepted Article.
Objective Evaluate performance of the Predicting Risk of Cardiovascular Disease EVENTs (PREVENT) calculator in rheumatoid arthritis (RA). Methods Patients with RA were matched up to 10 controls on age, sex, and enrollment year using national Veterans Health Administration (VHA), Medicare, and National Death Index data (2006‐2020).
Tate M. Johnson   +13 more
wiley   +1 more source

Generalized Reed-Solomon codes over number fields and exact gradient coding

open access: yesAIMS Mathematics
This paper describes generalized Reed-Solomon (GRS) codes over number fields that are invariant under certain permutations. We call these codes generalized quasi-cyclic (GQC) GRS codes.
Irwansyah   +3 more
doaj   +1 more source

Structural Properties of Twisted Reed-Solomon Codes with Applications to Cryptography

open access: yes, 2018
We present a generalisation of Twisted Reed-Solomon codes containing a new large class of MDS codes. We prove that the code class contains a large subfamily that is closed under duality.
Beelen, Peter   +3 more
core   +1 more source

Patient‐reported outcomes, postoperative pain and pain relief after day‐case surgery (POPPY): baseline data from day surgery practice in the UK

open access: yesAnaesthesia, EarlyView.
Summary Introduction Most patients undergoing elective surgery in the UK are discharged from hospital on the same day. Despite this, there is a lack of UK patient‐centred outcome measures relating to quality of recovery, pain and analgesic use. The POPPY study was a UK‐wide prospective, observational study measuring short‐ and longer‐term patient ...
Martha Belete   +2177 more
wiley   +1 more source

Patient‐reported outcomes, postoperative pain and pain relief after day‐case surgery (POPPY): chronic post‐surgical pain prevalence and associations*

open access: yesAnaesthesia, EarlyView.
Summary Introduction Day‐case surgical activity is increasing in the UK yet there is a lack of data on the prevalence of chronic post‐surgical pain in this population. This study uses data from the POPPY study to estimate the prevalence of chronic post‐surgical pain after day‐case surgery, its relationship with quality of life and also explores ...
Adam B. Brayne   +2177 more
wiley   +1 more source

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