Academic literature on the topic 'Bose–Chaudhuri– Hocquenghem BCH'

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Journal articles on the topic "Bose–Chaudhuri– Hocquenghem BCH"

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Sachnev, Vasily, and Yong Soo Choi. "Ternary Bose - Chaudhuri - Hocquenghem (BCH) with t = 2 code for steganography." Journal of Digital Contents Society 17, no. 6 (2016): 461–69. http://dx.doi.org/10.9728/dcs.2016.17.6.461.

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La Guardia, Giuliano G. "New families of asymmetric quantum BCH codes." Quantum Information and Computation 11, no. 3&4 (2011): 239–52. http://dx.doi.org/10.26421/qic11.3-4-4.

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Several families of nonbinary asymmetric quantum Bose-Chaudhuri-Hocquenghem (BCH) codes are presented in this paper. These quantum codes have parameters better than the ones available in the literature. Additionally, such codes can be applied in quantum systems where the asymmetry between qudit-flip and phase-shift errors is large.
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Kushnerov, A. V., V. A. Lipinski, and M. N. Koroliova. "The properties and parameters of generic Bose – Chaudhuri – Hocquenghem codes." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 56, no. 2 (2020): 157–65. http://dx.doi.org/10.29235/1561-2430-2020-56-2-157-165.

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The Bose – Chaudhuri – Hocquenghem type of linear cyclic codes (BCH codes) is one of the most popular and widespread error-correcting codes. Their close connection with the theory of Galois fields gave an opportunity to create a theory of the norms of syndromes for BCH codes, namely, syndrome invariants of the G-orbits of errors, and to develop a theory of polynomial invariants of the G-orbits of errors. This theory as a whole served as the basis for the development of effective permutation polynomial-norm methods and error correction algorithms that significantly reduce the influence of the s
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Ullum Azhari, M. Husnul, Nyoman Pramaita, and I. Gst A. Komang Diafari Djuni H. "DESAIN PROGRAM SIMULASI PENERAPAN KODE BOSE CHAUDHURI HOCQUENGHEM PADA DIRECT SEQUENCE SPREAD SPECTRUM." Jurnal SPEKTRUM 7, no. 4 (2020): 60. http://dx.doi.org/10.24843/spektrum.2020.v07.i04.p8.

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This study proposes a design of simulation program for implementing Bose ChaudhuriHocquenghem (BCH) code on Direct Sequence Spread Specterum (DSSS) to knowing theperformance of the effect of DSSS with flat fading channel and AWGN without BCH code (7,4)with the application of BCH code (7,4) on DSSS with flat fading and AWGN channel. Thissimulation consist of simulation of BER application of BCH code (7,4) on DSSS with flat fadingand AWGN channel, simulation of BER application code BCH (7,4) on DSSS with AWGNchannel, simulation of the effect of Eb/No on noise variance in the DSSS system, and BER
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FREUDENBERGER, JÜRGEN, and JENS SPINNER. "A CONFIGURABLE BOSE–CHAUDHURI–HOCQUENGHEM CODEC ARCHITECTURE FOR FLASH CONTROLLER APPLICATIONS." Journal of Circuits, Systems and Computers 23, no. 02 (2014): 1450019. http://dx.doi.org/10.1142/s0218126614500194.

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Error correction coding (ECC) has become one of the most important tasks of flash memory controllers. The gate count of the ECC unit is taking up a significant share of the overall logic. Scaling the ECC strength to the growing error correction requirements has become increasingly difficult when considering cost and area limitations. This work presents a configurable encoding and decoding architecture for binary Bose–Chaudhuri–Hocquenghem (BCH) codes. The proposed concept supports a wide range of code rates and facilitates a trade-off between throughput and space complexity. Commonly, hardware
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Kushnerov, Alexander V., and Valery A. Lipnitski. "Generic BCH codes. Polynomial-norm error decoding." Journal of the Belarusian State University. Mathematics and Informatics, no. 2 (July 30, 2020): 36–48. http://dx.doi.org/10.33581/2520-6508-2020-2-36-48.

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The classic Bose – Chaudhuri – Hocquenghem (BCH) codes is famous and well-studied part in the theory of error-correcting codes. Generalization of BCH codes allows us to expand the range of activities in the practical correction of errors. Some generic BCH codes are able to correct more errors than classic BCH code in one message block. So it is important to provide appropriate method of error correction. After our investigation it was found that polynomial-norm method is most convenient and effective for that task. The result of the study was a model of a polynomial-norm decoder for a generic
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Wang, Junli, Ruihu Li, Yang Liu, and Hao Song. "New quantum constacyclic codes with length n=2(qm+1)." International Journal of Quantum Information 17, no. 07 (2019): 1950057. http://dx.doi.org/10.1142/s0219749919500576.

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By studying the properties of [Formula: see text]-cyclotomic cosets, the maximum designed distances of Hermitian dual-containing constacyclic Bose–Chaudhuri–Hocquenghem (BCH) codes with length [Formula: see text] are determined, where [Formula: see text] is an odd prime power and [Formula: see text] is an integer. Further, their dimensions are calculated precisely for the given designed distance. Consequently, via Hermitian Construction, many new quantum codes could be obtained from these codes, which are not covered in the literature.
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Lü, Liang-Dong, and Ruihu Li. "Entanglement-assisted quantum codes constructed from primitive quaternary BCH codes." International Journal of Quantum Information 12, no. 03 (2014): 1450015. http://dx.doi.org/10.1142/s0219749914500154.

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The entanglement-assisted (EA) formalism generalizes the standard stabilizer formalism. All quaternary linear codes can be transformed into entanglement-assisted quantum error correcting codes (EAQECCs) under this formalism. In this work, we discuss construction of EAQECCs from Hermitian non-dual containing primitive Bose–Chaudhuri–Hocquenghem (BCH) codes over the Galois field GF(4). By a careful analysis of the cyclotomic cosets contained in the defining set of a given BCH code, we can determine the optimal number of ebits that needed for constructing EAQECC from this BCH code, rather than ca
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Lipnitski, V. A., and A. U. Serada. "Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7." Proceedings of the National Academy of Sciences of Belarus, Physical-Technical Series 64, no. 1 (2019): 110–17. http://dx.doi.org/10.29235/1561-8358-2019-64-1-110-117.

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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 permutation to the group Γ and practically exhausting the group of automorphisms of BCH codes. It is determined that polynomial invariants, like the norms of syndromes, have a scalar character and are one-to-one characteristics of their orbits for BCH codes with a constructive distance of five. The paper introduces the corresponding vector polynomial
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Kwon, Soonhee, and Dong-Joon Shin. "Analysis of Blind Reconstruction of BCH Codes." Entropy 22, no. 11 (2020): 1256. http://dx.doi.org/10.3390/e22111256.

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In this paper, the theoretical lower-bound on the success probability of blind reconstruction of Bose–Chaudhuri–Hocquenghem (BCH) codes is derived. In particular, the blind reconstruction method of BCH codes based on the consecutive roots of generator polynomials is mainly analyzed because this method shows the best blind reconstruction performance. In order to derive a performance lower-bound, the theoretical analysis of BCH codes on the aspects of blind reconstruction is performed. Furthermore, the analysis results can be applied not only to the binary BCH codes but also to the non-binary BC
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Dissertations / Theses on the topic "Bose–Chaudhuri– Hocquenghem BCH"

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Giraldo, Solís Mayte Rociel. "Estudio de una arquitectura para corrección de errores mediante códigos Bose-Chaudhuri-Hocquenghem (BCH) para aplicaciones de nano-satélites." Bachelor's thesis, Pontificia Universidad Católica del Perú, 2020. http://hdl.handle.net/20.500.12404/19710.

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En la comunicación satelital se transmiten datos los cuales pueden verse afectados por diversos factores como la radiación. Por esta razón, el Comité Consultivo para Sistemas de Datos Espaciales (CCSDS por sus siglas en inglés) y la Cooperación Europea para Estandarización Espacial (ECSS por sus siglas en inglés) recomiendan la implementación de códigos que permitan corregir dichos errores. Además, especifican el uso del código Bose-Chaudhuri-Hoquenghem (BCH) frente a Reed-Solomon (RS) debido a su capacidad de corrección de múltiples errores y que esto se realiza bit a bit, es decir, no
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McCulley, Scott L. "Design and Implementation of a Practical FLEX Paging Decoder." Thesis, Virginia Tech, 1997. http://hdl.handle.net/10919/35557.

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The Motorola Inc. paging protocol FLEX is discussed. The design and construction of a FLEX paging protocol decoder is discussed in detail. It proposes a decoding solution that includes a radio frequency (RF) receiver and a decoder board. The RF receiver will be briefly discussed. The decoder design is the main focus of this thesis as it transforms the RF frequency modulated (FM) data from the receiver and converts it to FLEX data words. The decoder is designed to handle bit sampling, bit clock synchronization, FLEX packet detection, and FLEX data word collection. The FLEX data words are then s
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Mondal, Arijit. "Efficient Hardware Architectures for Error Correcting Codes Applicable to Data Storage." Thesis, 2021. https://etd.iisc.ac.in/handle/2005/5674.

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Error correcting codes (ECCs) are essential to transmission and data storage sys-tems to protect the information from errors introduced by noisy communication channels. There are two main classes of ECCs, namely algebraic and iterative ECCs. While iterative ECCs like low-density parity-check (LDPC) codes provide improved performance in the waterfall region albeit exhibiting flooring effect for not so well-designed codes, algebraic ECCs like Bose–Chaudhuri–Hocquenghem (BCH) and Reed Solomon (RS) codes provide guaranteed error correction capability irrespective of the waterfall or error floor re
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Books on the topic "Bose–Chaudhuri– Hocquenghem BCH"

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Bäumlisberger, Frank. Berechnung von Gewichtsverteilungen bei primitiven binären Bose-Chaudhuri-Hocquenghem Codes. 1995.

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Book chapters on the topic "Bose–Chaudhuri– Hocquenghem BCH"

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Friedrichs, Bernd. "Reed-Solomon und Bose-Chaudhuri-Hocquenghem Codes." In Kanalcodierung. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-60985-5_7.

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"Bose-Chaudhuri-Hocquenghem (BCH) Codes." In Introduction to the Theory of Error-Correcting Codes. John Wiley & Sons, Inc., 2011. http://dx.doi.org/10.1002/9781118032749.ch7.

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Conference papers on the topic "Bose–Chaudhuri– Hocquenghem BCH"

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Sukmadji, Alvin Y., and Frank R. Kschischang. "Performance-Complexity-Latency Trade-offs of Concatenated RS-SDBCH Codes." In Optical Fiber Communication Conference. Optica Publishing Group, 2025. https://doi.org/10.1364/ofc.2025.tu2f.3.

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Performance-complexity-latency trade-off curves for rate-0.88 concatenated outer Reed–Solomon codes and inner Chase-algorithm-based soft-decision Bose–Ray-Chaudhuri–Hocquenghem codes with PAM4 constellation using bit-interleaved coded modulation and multilevel coding coded modulation schemes over the AWGN channel are presented.
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Matsenko, Svitlana, Sandis Spolitis, and Vjaceslavs Bobrovs. "Integration of FEC Channel-coding Schemes Based on the Bose-Chaudhuri-Hocquenghem (BCH) Code for WDM Fiber Optical Communication Systems." In 2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall). IEEE, 2019. http://dx.doi.org/10.1109/piers-fall48861.2019.9021780.

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Clerc, Sylvain, Fady Abouzeid, Vincent Heinrich, et al. "A 40nm CMOS, 1.27nJ, 330mV, 600kHz, Bose Chaudhuri Hocquenghem 252 bits frame decoder." In Technology (ICICDT). IEEE, 2010. http://dx.doi.org/10.1109/icicdt.2010.5510284.

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Moloi, Ntitiseng, Khmaies Ouahada, and HaiLing Zhu. "Performance Analysis for Reed Solomon Codes and Bose Chaudhuri-Hocquenghem Codes in Digital Image Watermarking." In 2019 IEEE AFRICON. IEEE, 2019. http://dx.doi.org/10.1109/africon46755.2019.9133852.

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Gupta, Prabal, B. Arun Kumar, and Sandeep Kumar Jain. "Peak to average power ratio reduction in OFDM using higher order partitioned PTS sequence and Bose Chaudhuri Hocquenghem Codes." In 2015 International Conference on Signal Processing And Communication Engineering Systems (SPACES). IEEE, 2015. http://dx.doi.org/10.1109/spaces.2015.7058303.

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Ahmed, Mohammed, Magzoub Albashier, Azlan Abd Aziz, Hadhrami Abd Ghani, and A. K. Samingan. "Performance Comparison of Energy Efficiency and Physical Layer Security for Reed Solomon and Bose-Chaudhuri-Hocquenghem Codes in Wireless Sensor Networks." In 2018 7th International Conference on Computer and Communication Engineering (ICCCE). IEEE, 2018. http://dx.doi.org/10.1109/iccce.2018.8539284.

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El-Badawy, El-Sayed A., El-Sayed A. Youssef, and Hossam M. H. Shalaby. "PPM performance using a concatenated code over an optical-rf relay link." In OSA Annual Meeting. Optica Publishing Group, 1985. http://dx.doi.org/10.1364/oam.1985.thc9.

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Use of an optical-rf relay deep space communication link is being considered1 that transmits optical MPPM data from a deep space vehicle to a satellite, then retransmits the data via microwave to ground. High-order (255,127) Reed-Solomon (RS) codes2 over the MPPM optical link for improved error correction have been considered. In this work we show that either timing errors or optical power constraint may cause severe degradation in system performance using high-order RS codes. Using an (8,4) extended Bose-:Chaudhuri-Hocquenhem (BCH) code as an inner code in a concatenated code in which the out
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