权重为 3 至 5 的新型可变权重光学正交编码。

IF 2.1 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Entropy Pub Date : 2024-11-15 DOI:10.3390/e26110982

Si-Yeon Pak, Hyo-Won Kim, DaeHan Ahn, Jin-Ho Chung

{"title":"权重为 3 至 5 的新型可变权重光学正交编码。","authors":"Si-Yeon Pak, Hyo-Won Kim, DaeHan Ahn, Jin-Ho Chung","doi":"10.3390/e26110982","DOIUrl":null,"url":null,"abstract":"In optical networks, designing optical orthogonal codes (OOCs) with appropriate parameters is essential for enhancing the overall system performance. They are divided into two categories, constant-weight OOCs (CW-OOCs) and variable-weight OOCs (VW-OOCs), based on the number of distinct Hamming weights present in their codewords. This paper introduces a method for constructing VW-OOCs of length kp by using the structure of an integer ring and the Chinese Remainder Theorem. In particular, we present some specific VW-OOCs with weights of 3, 4, or 5. The results demonstrate that certain optimal VW-OOCs can be obtained with parameters that are not covered in the existing literature.","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"26 11","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2024-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11592724/pdf/","citationCount":"0","resultStr":"{\"title\":\"New Variable-Weight Optical Orthogonal Codes with Weights 3 to 5.\",\"authors\":\"Si-Yeon Pak, Hyo-Won Kim, DaeHan Ahn, Jin-Ho Chung\",\"doi\":\"10.3390/e26110982\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In optical networks, designing optical orthogonal codes (OOCs) with appropriate parameters is essential for enhancing the overall system performance. They are divided into two categories, constant-weight OOCs (CW-OOCs) and variable-weight OOCs (VW-OOCs), based on the number of distinct Hamming weights present in their codewords. This paper introduces a method for constructing VW-OOCs of length kp by using the structure of an integer ring and the Chinese Remainder Theorem. In particular, we present some specific VW-OOCs with weights of 3, 4, or 5. The results demonstrate that certain optimal VW-OOCs can be obtained with parameters that are not covered in the existing literature.\",\"PeriodicalId\":11694,\"journal\":{\"name\":\"Entropy\",\"volume\":\"26 11\",\"pages\":\"\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11592724/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Entropy\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.3390/e26110982\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Entropy","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.3390/e26110982","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

在光网络中，设计具有适当参数的光正交编码（OOC）对于提高整个系统的性能至关重要。根据其码字中存在的不同汉明权重的数量，它们可分为两类：恒定权重正交码（CW-OOCs）和可变权重正交码（VW-OOCs）。本文介绍了一种利用整数环结构和中文余数定理构建长度为 kp 的 VW-OOC 的方法。我们特别介绍了一些权重为 3、4 或 5 的特定 VW-OOCs。结果表明，某些最优 VW-OOC 可以用现有文献中未涉及的参数得到。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

New Variable-Weight Optical Orthogonal Codes with Weights 3 to 5.

In optical networks, designing optical orthogonal codes (OOCs) with appropriate parameters is essential for enhancing the overall system performance. They are divided into two categories, constant-weight OOCs (CW-OOCs) and variable-weight OOCs (VW-OOCs), based on the number of distinct Hamming weights present in their codewords. This paper introduces a method for constructing VW-OOCs of length kp by using the structure of an integer ring and the Chinese Remainder Theorem. In particular, we present some specific VW-OOCs with weights of 3, 4, or 5. The results demonstrate that certain optimal VW-OOCs can be obtained with parameters that are not covered in the existing literature.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Entropy PHYSICS, MULTIDISCIPLINARY-

CiteScore

4.90

自引率

11.10%

发文量

1580

审稿时长

21.05 days

期刊介绍： Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.