基于空间几何显著特性的编码设计优化

V. Riznyk
{"title":"基于空间几何显著特性的编码设计优化","authors":"V. Riznyk","doi":"10.37394/23205.2022.21.33","DOIUrl":null,"url":null,"abstract":"This paper involves techniques for optimization of encoding design based on the remarkable geometric property of ring symmetry which contains two complementary asymmetries as the World harmony law for improving the quality indices of one- and multidimensional cyclic codes with respect to performance reliability, transmission speed, and transmission content, using vector data coding. These design techniques make it possible to configure encoding system with minimized number of digit weights, while maintaining or improving on error protection, security, and function of autocorrelation. Such sets are t-dimensional vectors, each of them together with all their modular sums enumerate the set node points grid of the coordinate system with the corresponding sizes and dimensionality. Systemic researches based on remarkable geometric properties of multi-modular mathematical structures such as “Glory to Ukraine Star” (GUS) combinatorial configurations demonstrated.","PeriodicalId":332148,"journal":{"name":"WSEAS TRANSACTIONS ON COMPUTERS","volume":"43 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Optimization of Encoding Design Based on the Spatial Geometry Remarkable Properties\",\"authors\":\"V. Riznyk\",\"doi\":\"10.37394/23205.2022.21.33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper involves techniques for optimization of encoding design based on the remarkable geometric property of ring symmetry which contains two complementary asymmetries as the World harmony law for improving the quality indices of one- and multidimensional cyclic codes with respect to performance reliability, transmission speed, and transmission content, using vector data coding. These design techniques make it possible to configure encoding system with minimized number of digit weights, while maintaining or improving on error protection, security, and function of autocorrelation. Such sets are t-dimensional vectors, each of them together with all their modular sums enumerate the set node points grid of the coordinate system with the corresponding sizes and dimensionality. Systemic researches based on remarkable geometric properties of multi-modular mathematical structures such as “Glory to Ukraine Star” (GUS) combinatorial configurations demonstrated.\",\"PeriodicalId\":332148,\"journal\":{\"name\":\"WSEAS TRANSACTIONS ON COMPUTERS\",\"volume\":\"43 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS TRANSACTIONS ON COMPUTERS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23205.2022.21.33\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS TRANSACTIONS ON COMPUTERS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23205.2022.21.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

摘要

本文研究了利用环对称(包含两个互补的不对称)的显著几何特性作为世界和谐律,利用矢量数据编码优化编码设计的技术,以提高一维和多维循环码在性能可靠性、传输速度和传输内容等方面的质量指标。这些设计技术使得在保持或改进错误保护、安全性和自相关功能的同时,配置具有最小位数权重的编码系统成为可能。这样的集合是t维向量,每一个集合及其所有的模和都枚举了坐标系统的集合节点网格,具有相应的大小和维数。基于“荣耀乌克兰之星”(GUS)组合构型等多模数学结构显著的几何性质,系统地进行了研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimization of Encoding Design Based on the Spatial Geometry Remarkable Properties
This paper involves techniques for optimization of encoding design based on the remarkable geometric property of ring symmetry which contains two complementary asymmetries as the World harmony law for improving the quality indices of one- and multidimensional cyclic codes with respect to performance reliability, transmission speed, and transmission content, using vector data coding. These design techniques make it possible to configure encoding system with minimized number of digit weights, while maintaining or improving on error protection, security, and function of autocorrelation. Such sets are t-dimensional vectors, each of them together with all their modular sums enumerate the set node points grid of the coordinate system with the corresponding sizes and dimensionality. Systemic researches based on remarkable geometric properties of multi-modular mathematical structures such as “Glory to Ukraine Star” (GUS) combinatorial configurations demonstrated.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信