{"title":"构建具有高非线性的相关模糊 S 框","authors":"Yanhan Ji , Zhuo Ma , Luyang Li , Yujuan Sun","doi":"10.1016/j.jiixd.2024.01.005","DOIUrl":null,"url":null,"abstract":"<div><p>S-boxes play a central role in the design of symmetric cipher schemes. For stream cipher applications, an S-box should satisfy several criteria such as high nonlinearity, balanceness, correlation immunity, and so on. In this paper, by using disjoint linear codes, a class of S-boxes possessing high nonlinearity and 1st-order correlation immunity is given. It is shown that the constructed correlation immune S-boxes can possess currently best known nonlinearity, which is confirmed by the example 1st-order correlation immune (12, 3) S-box with nonlinearity 2000. In addition, two other frameworks concerning the criteria of balanced and resiliency are obtained respectively.</p></div>","PeriodicalId":100790,"journal":{"name":"Journal of Information and Intelligence","volume":"2 3","pages":"Pages 253-260"},"PeriodicalIF":0.0000,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2949715924000052/pdfft?md5=ea4e350f6b9d3b0dd5bb671a433bf976&pid=1-s2.0-S2949715924000052-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Constructions of correlation immnue S-boxes with high nonlinearity\",\"authors\":\"Yanhan Ji , Zhuo Ma , Luyang Li , Yujuan Sun\",\"doi\":\"10.1016/j.jiixd.2024.01.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>S-boxes play a central role in the design of symmetric cipher schemes. For stream cipher applications, an S-box should satisfy several criteria such as high nonlinearity, balanceness, correlation immunity, and so on. In this paper, by using disjoint linear codes, a class of S-boxes possessing high nonlinearity and 1st-order correlation immunity is given. It is shown that the constructed correlation immune S-boxes can possess currently best known nonlinearity, which is confirmed by the example 1st-order correlation immune (12, 3) S-box with nonlinearity 2000. In addition, two other frameworks concerning the criteria of balanced and resiliency are obtained respectively.</p></div>\",\"PeriodicalId\":100790,\"journal\":{\"name\":\"Journal of Information and Intelligence\",\"volume\":\"2 3\",\"pages\":\"Pages 253-260\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2949715924000052/pdfft?md5=ea4e350f6b9d3b0dd5bb671a433bf976&pid=1-s2.0-S2949715924000052-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Information and Intelligence\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2949715924000052\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Information and Intelligence","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2949715924000052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Constructions of correlation immnue S-boxes with high nonlinearity
S-boxes play a central role in the design of symmetric cipher schemes. For stream cipher applications, an S-box should satisfy several criteria such as high nonlinearity, balanceness, correlation immunity, and so on. In this paper, by using disjoint linear codes, a class of S-boxes possessing high nonlinearity and 1st-order correlation immunity is given. It is shown that the constructed correlation immune S-boxes can possess currently best known nonlinearity, which is confirmed by the example 1st-order correlation immune (12, 3) S-box with nonlinearity 2000. In addition, two other frameworks concerning the criteria of balanced and resiliency are obtained respectively.
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