{"title":"二元和三元弯曲函数的吉布斯表征","authors":"R. Stankovic, M. Stankovic, J. Astola, C. Moraga","doi":"10.1109/ISMVL.2016.23","DOIUrl":null,"url":null,"abstract":"The paper discusses relationships between bent functions and spectral invariant operations. Considerations are done on examples of binary and ternary bent functions, however, can be generalized to p-ary bent functions for any prime p. We also discuss differences between the binary and ternary cases of a method for characterization of certain classes of bent functions in terms of particular differential operators on finite groups called the Gibbs derivatives.","PeriodicalId":246194,"journal":{"name":"2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2016-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Gibbs Characterization of Binary and Ternary Bent Functions\",\"authors\":\"R. Stankovic, M. Stankovic, J. Astola, C. Moraga\",\"doi\":\"10.1109/ISMVL.2016.23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper discusses relationships between bent functions and spectral invariant operations. Considerations are done on examples of binary and ternary bent functions, however, can be generalized to p-ary bent functions for any prime p. We also discuss differences between the binary and ternary cases of a method for characterization of certain classes of bent functions in terms of particular differential operators on finite groups called the Gibbs derivatives.\",\"PeriodicalId\":246194,\"journal\":{\"name\":\"2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-05-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2016.23\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 IEEE 46th International Symposium on Multiple-Valued Logic (ISMVL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2016.23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Gibbs Characterization of Binary and Ternary Bent Functions
The paper discusses relationships between bent functions and spectral invariant operations. Considerations are done on examples of binary and ternary bent functions, however, can be generalized to p-ary bent functions for any prime p. We also discuss differences between the binary and ternary cases of a method for characterization of certain classes of bent functions in terms of particular differential operators on finite groups called the Gibbs derivatives.