Results 21 to 30 of about 147,259 (119)
Graphical Nonbinary Quantum Error-Correcting Codes
, 2008 In this paper, based on the nonbinary graph state, we present a systematic way of constructing good non-binary quantum codes, both additive and nonadditive, for systems with integer dimensions.
C. H. Bennett +7 more
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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
A. Barenco +13 more
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Error Detecting and Error Correcting Codes
Bell System Technical Journal, 1950 The author was led to the study given in this paper from a consideration of large scale computing machines in which a large number of operations must be performed without a single error in the end result. This problem of “doing things right” on a large scale is not essentially new; in a telephone central office, for example, a very large number of ...
openaire +3 more sources
Dense Error-Correcting Codes in the Lee Metric
, 2010 Several new applications and a number of new mathematical techniques have increased the research on error-correcting codes in the Lee metric in the last decade.
Etzion, Tuvi +2 more
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Construction algorithm for network error-correcting codes attaining the Singleton bound
, 2007 We give a centralized deterministic algorithm for constructing linear network error-correcting codes that attain the Singleton bound of network error-correcting codes. The proposed algorithm is based on the algorithm by Jaggi et al.
Matsumoto, Ryutaroh
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Energy-minimizing error-correcting codes
, 2014 We study a discrete model of repelling particles, and we show using linear programming bounds that many familiar families of error-correcting codes minimize a broad class of potential energies when compared with all other codes of the same size and block
Cohn, Henry, Zhao, Yufei
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Some Applications of Coding Theory in Computational Complexity
, 2004 Error-correcting codes and related combinatorial constructs play an important role in several recent (and old) results in computational complexity theory.
Trevisan, Luca
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Simple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting Codes
, 2005 Simple rate-1/3 single-error-correcting unrestricted and CSS-type quantum convolutional codes are constructed from classical self-orthogonal $\F_4$-linear and $\F_2$-linear convolutional codes, respectively.
Forney, Jr., G. David, Guha, Saikat
core +2 more sources
Sparse Graph Codes for Quantum Error-Correction
, 2003 We present sparse graph codes appropriate for use in quantum error-correction. Quantum error-correcting codes based on sparse graphs are of interest for three reasons.
MacKay, David J. C. +2 more
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Group homomorphisms as error correcting codes [PDF]
, 2014 We investigate the minimum distance of the error correcting code formed by the homomorphisms between two finite groups $G$ and $H$. We prove some general structural results on how the distance behaves with respect to natural group operations, such as ...
Guo, Alan
core +3 more sources