发表状态 | 已发表Published |
题名 | A novel coding scheme for generating sixteen codes from quaternary codes with applications |
作者 | |
发表日期 | 2024-04-01 |
发表期刊 | Computational and Applied Mathematics
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ISSN/eISSN | 2238-3603 |
卷号 | 43期号:3 |
摘要 | Digital data transmission and storage are indispensable components for our contemporary information-driven society. As data volumes keep increasing, the need for efficient coding schemes grows. This paper gives a novel coding scheme for generating sixteen codes from generators with quaternary codes, thereby offering a significant increase in data representation capacity, new possibilities for data encoding and decoding, and an overall improvement in the efficiency of the encoding scheme. This provides up a new perspective for numerous fields that can profit from the proposed scheme, including coding theory, computer science, modeling, and experimental design. We focus on only experimental design and modeling, due to space limits and their importance in designing and modeling real-world and scientific phenomena. The main findings indicate that the new generated sixteen codes can be used as optimal experimental designs with good space-filling behavior when designing large-scale experiments, and as efficient datasets that perform well in fitting various functions even with a small number of points and without modeling assumptions. The relationships between the codewords of the generated sixteen codes and the codewords of the generator quaternary codes are investigated. These relationships provide a benchmark by which to select the generator most efficiently, resulting in codewords that are efficient from multiple angles. Furthermore, the space-filling behavior and isomorphism examination of the sixteen codes generated as designs are deeply theoretically studied. |
关键词 | 62K05 62K15 Binary codes Error control coding Experimental design Gray map Hamming distance Isomorphism Modeling Quaternary codes Sixteen codes Space-filling Threshold accepting algorithm |
DOI | 10.1007/s40314-024-02596-8 |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:001185514900001 |
Scopus入藏号 | 2-s2.0-85187928254 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/11465 |
专题 | 理工科技学院 |
通讯作者 | Elsawah, A. M. |
作者单位 | 1.Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science,Beijing Normal University-Hong Kong Baptist University United International College,Zhuhai,519087,China 2.Department of Statistics and Data Science,Faculty of Science and Technology,Beijing Normal University-Hong Kong Baptist University United International College,Zhuhai,519087,China 3.Department of Mathematics,Faculty of Science,Zagazig University,Zagazig,44519,Egypt |
第一作者单位 | 北师香港浸会大学; 理工科技学院 |
通讯作者单位 | 北师香港浸会大学; 理工科技学院 |
推荐引用方式 GB/T 7714 | Elsawah, A. M. A novel coding scheme for generating sixteen codes from quaternary codes with applications[J]. Computational and Applied Mathematics, 2024, 43(3). |
APA | Elsawah, A. M. (2024). A novel coding scheme for generating sixteen codes from quaternary codes with applications. Computational and Applied Mathematics, 43(3). |
MLA | Elsawah, A. M.."A novel coding scheme for generating sixteen codes from quaternary codes with applications". Computational and Applied Mathematics 43.3(2024). |
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