{"title":"现代密码中的非线性 S 盒构造","authors":"Md. Shamim Hossain Biswas","doi":"10.29322/ijsrp.14.01.2024.p14539","DOIUrl":null,"url":null,"abstract":"-The aim of research was to investigate and reveal the construction mechanism of a component based nonlinear S-box. The nonlinear S-box is a vectorial Boolean function. A vectorial Boolean function used in S-box as straight, compressible and expandable. The application of S-boxes is noticeable in modern block ciphers. In this article, the construction of a nonlinear S-box based on Vectorial Boolean function is presented for scientific readers. Actually, the Substitution box is a Boolean-space where substitution takes place through an action of s-box (mathematical function) and provides confusion in block cipher. The computational and exploratory research approach were applied in this research. Reviewing a number of current s-box construction techniques and applying ideas mathematically to construct a new S-box was a primary initiative to conduct this research. Critical thinking was the main key to capture the mathematical notion behind the Nonlinear S-box. The data collection procedure was literature review, online survey questionnaire and focus group discussion. The population of the research work were doctoral students and professors.","PeriodicalId":14431,"journal":{"name":"International journal of scientific and research publications","volume":"6 3","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear S-box construction in modern Cipher\",\"authors\":\"Md. Shamim Hossain Biswas\",\"doi\":\"10.29322/ijsrp.14.01.2024.p14539\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"-The aim of research was to investigate and reveal the construction mechanism of a component based nonlinear S-box. The nonlinear S-box is a vectorial Boolean function. A vectorial Boolean function used in S-box as straight, compressible and expandable. The application of S-boxes is noticeable in modern block ciphers. In this article, the construction of a nonlinear S-box based on Vectorial Boolean function is presented for scientific readers. Actually, the Substitution box is a Boolean-space where substitution takes place through an action of s-box (mathematical function) and provides confusion in block cipher. The computational and exploratory research approach were applied in this research. Reviewing a number of current s-box construction techniques and applying ideas mathematically to construct a new S-box was a primary initiative to conduct this research. Critical thinking was the main key to capture the mathematical notion behind the Nonlinear S-box. The data collection procedure was literature review, online survey questionnaire and focus group discussion. The population of the research work were doctoral students and professors.\",\"PeriodicalId\":14431,\"journal\":{\"name\":\"International journal of scientific and research publications\",\"volume\":\"6 3\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of scientific and research publications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29322/ijsrp.14.01.2024.p14539\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of scientific and research publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29322/ijsrp.14.01.2024.p14539","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
-研究的目的是调查和揭示基于组件的非线性 S-box 的构造机制。非线性 S-box 是一个矢量布尔函数。S-box 中使用的矢量布尔函数具有直线性、可压缩性和可扩展性。S-box 在现代块密码中的应用非常明显。本文将介绍基于矢量布尔函数的非线性 S-box 的构造,以飨读者。实际上,置换盒是一个布尔空间,通过 S 盒(数学函数)的作用进行置换,并在区块密码中提供混淆。本研究采用了计算和探索性研究方法。回顾当前的一些 S-box 构建技术,并运用数学思想构建新的 S-box 是开展这项研究的主要举措。批判性思维是捕捉非线性 S 型箱背后数学概念的主要关键。数据收集程序包括文献综述、在线调查问卷和焦点小组讨论。研究对象为博士生和教授。
-The aim of research was to investigate and reveal the construction mechanism of a component based nonlinear S-box. The nonlinear S-box is a vectorial Boolean function. A vectorial Boolean function used in S-box as straight, compressible and expandable. The application of S-boxes is noticeable in modern block ciphers. In this article, the construction of a nonlinear S-box based on Vectorial Boolean function is presented for scientific readers. Actually, the Substitution box is a Boolean-space where substitution takes place through an action of s-box (mathematical function) and provides confusion in block cipher. The computational and exploratory research approach were applied in this research. Reviewing a number of current s-box construction techniques and applying ideas mathematically to construct a new S-box was a primary initiative to conduct this research. Critical thinking was the main key to capture the mathematical notion behind the Nonlinear S-box. The data collection procedure was literature review, online survey questionnaire and focus group discussion. The population of the research work were doctoral students and professors.