Results 21 to 30 of about 13,426 (200)
, 1995 Derives an estimate for the error term in the binomial approximation of spectra of BCH codes. This estimate asymptotically improves on the bounds by Sidelnikov (1971), Kasami et al. (1985), and Sole (1990)
Krasikov, I, Litsyn, S
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Micromachines, 2019 Bose−Chaudhuri−Hocquenghem (BCH) codes are broadly used to correct errors in flash memory systems and digital communications. These codes are cyclic block codes and have their arithmetic fixed over the splitting field of their generator ...
Arul Subbiah, Tokunbo Ogunfunmi
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Asymmetric Quantum Codes: New Codes from Old [PDF]
, 2013 In this paper we extend to asymmetric quantum error-correcting codes (AQECC) the construction methods, namely: puncturing, extending, expanding, direct sum and the (u|u + v) construction.
La Guardia, Giuliano G.
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Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2019 This work is the further development of the theory of norms of syndromes: the theory of polynomial invariants of G-orbits of errors expands with the group G of automorphisms of binary cyclic BCH codes obtained by joining the degrees of cyclotomic ...
V. A. Lipnitski, A. U. Serada
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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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A Spectral Algorithm for Decoding Systematic BCH Codes
IEEE Access, 2022 A novel method of spectral decoding for systematic BCH codes has been proposed. This method has a simple description and a small computational complexity.
Sergei Valentinovich Fedorenko
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Scientific Reports, 2021 Semiconductor superlattice secure key distribution (SSL-SKD) has been experimentally demonstrated to be a novel scheme to generate and agree on the identical key in unconditional security just by public channel.
Jianguo Xie +6 more
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The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
, 2017 Due to wide applications of BCH codes, the determination of their minimum distance is of great interest. However, this is a very challenging problem for which few theoretical results have been reported in the last four decades.
Li, Shuxing
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New binary and ternary LCD codes [PDF]
, 2017 LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos +3 more
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Codes for the Quantum Erasure Channel [PDF]
, 1996 The quantum erasure channel (QEC) is considered. Codes for the QEC have to correct for erasures, i. e., arbitrary errors at known positions. We show that four qubits are necessary and sufficient to encode one qubit and correct one erasure, in contrast to
A. Ekert +27 more
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