{"title":"由二元布尔弯曲函数置换得到的四元广义布尔弯曲函数","authors":"R. Stankovic, M. Stankovic, J. Astola, C. Moraga","doi":"10.1109/ISMVL.2018.00009","DOIUrl":null,"url":null,"abstract":"Various generalizations of binary Boolean bent functions have some applications in both binary and multiple-valued domain. The generalized Boolean functions having binary variables but taking four different values are of a special interest due to simple realizations. In this paper, we study how relationships between binary bent functions and generalized Boolean bent functions with quaternary values can be used to construct these functions.","PeriodicalId":434323,"journal":{"name":"2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)","volume":"275 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Quaternary Generalized Boolean Bent Functions Obtained Through Permutation of Binary Boolean Bent Functions\",\"authors\":\"R. Stankovic, M. Stankovic, J. Astola, C. Moraga\",\"doi\":\"10.1109/ISMVL.2018.00009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Various generalizations of binary Boolean bent functions have some applications in both binary and multiple-valued domain. The generalized Boolean functions having binary variables but taking four different values are of a special interest due to simple realizations. In this paper, we study how relationships between binary bent functions and generalized Boolean bent functions with quaternary values can be used to construct these functions.\",\"PeriodicalId\":434323,\"journal\":{\"name\":\"2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)\",\"volume\":\"275 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2018.00009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE 48th International Symposium on Multiple-Valued Logic (ISMVL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2018.00009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quaternary Generalized Boolean Bent Functions Obtained Through Permutation of Binary Boolean Bent Functions
Various generalizations of binary Boolean bent functions have some applications in both binary and multiple-valued domain. The generalized Boolean functions having binary variables but taking four different values are of a special interest due to simple realizations. In this paper, we study how relationships between binary bent functions and generalized Boolean bent functions with quaternary values can be used to construct these functions.