Results 31 to 40 of about 147,259 (119)

Statistical mechanics of error exponents for error-correcting codes

, 2006
Error exponents characterize the exponential decay, when increasing message length, of the probability of error of many error-correcting codes. To tackle the long standing problem of computing them exactly, we introduce a general, thermodynamic ...
B. Bollobás, C. Berrou, C. Di, C. E. Shannon, C. E. Shannon, C. H. Papadimitriou, D. J. C. MacKay, E. R. Berlekamp, F. den Hollander, H. Nishimori, M. Mézard, O. C. Martin, O. Rivoire, Olivier Rivoire, R. G. Gallager, R. G. Gallager, T. M. Cover, T. Nattermann, Thierry Mora   +18 more
core   +2 more sources

On the structure of non-full-rank perfect codes

, 2009
The Krotov combining construction of perfect 1-error-correcting binary codes from 2000 and a theorem of Heden saying that every non-full-rank perfect 1-error-correcting binary code can be constructed by this combining construction is generalized to the ...
A. V. Los', C. F. Laywine, D. S. Krotov, D. S. Krotov, Denis Krotov, K. T. Phelps, K. T. Phelps, M. Mollard, O. Heden, Olof Heden, S. W. Golomb, V. N. Potapov, V. N. Potapov   +12 more
core   +1 more source

Quantum Error-Correcting Codes Based on Orthogonal Arrays. [PDF]

Entropy (Basel), 2023
Yan R, Pang S, Chen M, Yang F.
europepmc   +1 more source

Iterative Optimization of Quantum Error Correcting Codes

, 2005
We introduce a convergent iterative algorithm for finding the optimal coding and decoding operations for an arbitrary noisy quantum channel. This algorithm does not require any error syndrome to be corrected completely, and hence also finds codes outside
Reimpell, M., Werner, R. F.
core   +1 more source

Spin glasses, error correcting codes, and synchronization of human stem cell organoids. [PDF]

Cell, 2023
Thomson M.
europepmc   +1 more source

A Fragile Image Watermarking Scheme in DWT Domain Using Chaotic Sequences and Error-Correcting Codes. [PDF]

Entropy (Basel), 2023
Ramos AM, Artiles JAP, Chaves DPB, Pimentel C.   +3 more
europepmc   +1 more source

Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array. [PDF]

Entropy (Basel), 2022
Pang S, Xu H, Chen M.
europepmc   +1 more source

Universal Framework for Quantum Error-Correcting Codes. [PDF]

Entropy (Basel), 2021
Li Z, Xing L.
europepmc   +1 more source

Hidden Hypergraphs, Error-Correcting Codes, and Critical Learning in Hopfield Networks. [PDF]

Entropy (Basel), 2021
Hillar C, Chan T, Taubman R, Rolnick D.
europepmc   +1 more source

Unordered Error-Correcting Codes and their Applications [PDF]

, 1993
We give efficient constructions for error correcting unordered {ECU) codes, i.e., codes such that any pair of codewords are at a certain minimal distance apart and at the same time they are unordered.
Blaum, Mario, Bruck, Jehoshua
core