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Quaternion Integers Based Higher Length Cyclic Codes and Their Decoding Algorithm 被引量:1
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作者 Muhammad Sajjad Tariq Shah +2 位作者 Mohammad Mazyad Hazzazi Adel R.Alharbi Iqtadar Hussain 《Computers, Materials & Continua》 SCIE EI 2022年第10期1177-1194,共18页
The decoding algorithm for the correction of errors of arbitrary Mannheim weight has discussed for Lattice constellations and codes from quadratic number fields.Following these lines,the decoding algorithms for the co... The decoding algorithm for the correction of errors of arbitrary Mannheim weight has discussed for Lattice constellations and codes from quadratic number fields.Following these lines,the decoding algorithms for the correction of errors of n=p−12 length cyclic codes(C)over quaternion integers of Quaternion Mannheim(QM)weight one up to two coordinates have considered.In continuation,the case of cyclic codes of lengths n=p−12 and 2n−1=p−2 has studied to improve the error correction efficiency.In this study,we present the decoding of cyclic codes of length n=ϕ(p)=p−1 and length 2n−1=2ϕ(p)−1=2p−3(where p is prime integer andϕis Euler phi function)over Hamilton Quaternion integers of Quaternion Mannheim weight for the correction of errors.Furthermore,the error correction capability and code rate tradeoff of these codes are also discussed.Thus,an increase in the length of the cyclic code is achieved along with its better code rate and an adequate error correction capability. 展开更多
关键词 Mannheim distance monoid ring cyclic codes parity check matrix extension syndromes decoding code rate and error correction capability
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Boundary evaluation and error correction on pseudorandom spread spectrum photon counting system
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作者 Shanshan Shen Qian Chen +1 位作者 Weiji He Vuqiang Wang 《Chinese Optics Letters》 SCIE EI CAS CSCD 2017年第9期36-40,共5页
The Cramer–Rao lower bound on range error is modeled for pseudo-random ranging systems using Geiger-mode avalanche photodiodes. The theoretical results are shown to agree with the Monte Carlo simulation, satisfying b... The Cramer–Rao lower bound on range error is modeled for pseudo-random ranging systems using Geiger-mode avalanche photodiodes. The theoretical results are shown to agree with the Monte Carlo simulation, satisfying boundary evaluations. Experimental tests prove that range errors caused by the fluctuation of the number of photon counts in the laser echo pulse leads to the range drift of the time point spread function. The function relationship between the range error and the photon counting ratio is determined by using numerical fitting.Range errors due to a different echo energy is calibrated so that the corrected range root mean square error is improved to 1 cm. 展开更多
关键词 Boundary evaluation and error correction on pseudorandom spread spectrum photon counting system
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ERROR AND ERROR CORRECTION AT ELEMENTARY LEVEL
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作者 Wang Xiaoping Minxian No. 2 Middle School, Gansu 《Chinese Journal of Applied Linguistics》 1994年第0期114-121,共8页
Introduction Errors are unavoidable in language learning, however, to a great extent, teachers in most middle schools in China regard errors as undesirable, a sign of failure in language learning. Most middle schools ... Introduction Errors are unavoidable in language learning, however, to a great extent, teachers in most middle schools in China regard errors as undesirable, a sign of failure in language learning. Most middle schools are still using the grammar-translation method which aims at encouraging students to read scientific works and enjoy literary works. The other goals of this method are to gain a greater understanding of the first language and to improve the students’ ability to cope with difficult subjects and materials, i.e. to develop the students’ minds. The practical purpose of using this method is to help learners pass the annual entrance examination. "To achieve these goals, the students must first learn grammar and vocabulary,... Grammar is taught deductively by means of long and elaborate explanations... students learn the rules of the language rather than its use." (Tang Lixing, 1983:11-12) 展开更多
关键词 error and error CORRECTION AT ELEMENTARY LEVEL OVER AT
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Analysis of the Relation between Interest Rate Policy and the Stock Market in China
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作者 WANG Jun\|bo,\ DENG Shu\|hui Laboratory of Management, Decision and Information Systems Institute of System Science, Academia Sinica, Beijing 100080, China 《Systems Science and Systems Engineering》 CSCD 1999年第4期89-107,共19页
Based on the modern monetary theory, this paper analyze the relation between interest rate policy and Shanghai and Shenzhen Stock Exchange by using event study and co\|integration model method. We point out that the i... Based on the modern monetary theory, this paper analyze the relation between interest rate policy and Shanghai and Shenzhen Stock Exchange by using event study and co\|integration model method. We point out that the interest rate policy have some abnormal effects on the stock market in short time and have negative effects on the stock market in long run. The influence of the interest rate is different on Shanghai Stock Exchange and Shenzhen Stock Exchange. 展开更多
关键词 interest rate policy event study co\|integration and error\|correction model stock market
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