Results 41 to 50 of about 773 (112)
Synchronizable error-correcting codes
Information and Control, 1967 A new technique for correcting synchronization errors in the transmission of discrete-symbol information is developed. The technique can be applied to any t-additive-error-correcting Bose—Chaudhuri—Hocquenghem code, to provide protection against synchronization errors. The synchronization error is corrected at the first complete received word after the
R. C. Bose, J. G. Caldwell
openaire +1 more source
Error-Correcting Codes and Phase Transitions [PDF]
Mathematics in Computer Science, 2010 amstex 57 pages, 3 eps ...
Yuri I. Manin, Matilde Marcolli
openaire +4 more sources
Binary error correcting network codes [PDF]
2011 IEEE Information Theory Workshop, 2011 We consider network coding for networks experiencing worst-case bit-flip errors, and argue that this is a reasonable model for highly dynamic wireless network transmissions. We demonstrate that in this setup prior network error-correcting schemes can be arbitrarily far from achieving the optimal network throughput.
Wang, Qiwen +2 more
openaire +2 more sources
MODERATE-DENSITY BURST ERROR CORRECTING LINEAR CODES
Ratio Mathematica, 2003 Lower and upper bounds for the existence of linear codes which correct burst of length b (fixed) and whose weight lies between certain limits have been presented.
Bal Kishan Dass, Gangmei Sobha
doaj
A McEliece cryptosystem using permutation codes
Journal of Mathematical CryptologyThis paper is an attempt to build a new public-key cryptosystem, similar to the McEliece cryptosystem, using permutation error-correcting codes. We study a public-key cryptosystem built using two permutation error-correcting codes.
Srinivasan Adarsh, Mahalanobis Ayan
doaj +1 more source
High dimensional error-correcting codes [PDF]
2010 IEEE International Symposium on Information Theory, 2010 In this paper we construct multidimensional codes with high dimension. The codes can correct high dimensional errors which have the form of either small clusters, or confined to an area with a small radius. We also consider small number of errors in a small area. The clusters which are discussed are mainly spheres such as semi-crosses and crosses. Also
Eitan Yaakobi, Tuvi Etzion
openaire +2 more sources
Error Correcting Codes with Mathematica [PDF]
, 2003 The author (with Kenneth Hulth) got the idea to develop a nonstandard, methodical-oriented course where hands-on sessions could add substantial understanding in the introduction of mentioned mathematical concepts. The package in MATHEMATICA in the field "Coding Theory" was developed for course "Error-Correcting codes with MATHEMATICA", for students on ...
openaire +2 more sources
Error-correcting codes for fermionic quantum simulation
SciPost PhysicsUtilizing the framework of $\mathbb{Z}_2$ lattice gauge theories in the context of Pauli stabilizer codes, we present methodologies for simulating fermions via qubit systems on a two-dimensional square lattice. We investigate the symplectic automorphisms
Yu-An Chen, Alexey V. Gorshkov, Yijia Xu
doaj +1 more source
Nonadditive Quantum Error-Correcting Code [PDF]
Physical Review Letters, 2008 We report the first nonadditive quantum error-correcting code, namely, a $((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.
Yu, S., Chen, Q., Lai, C.H., Oh, C.H.
openaire +3 more sources
Majorana dimers and holographic quantum error-correcting codes
Physical Review Research, 2019 Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence. In this work, we introduce a versatile framework of Majorana dimers capturing the
A. Jahn +3 more
doaj +1 more source