{"title":"关于Kloosterman和及其应用的注解","authors":"I. Blake, T. Garefalakis","doi":"10.1109/ITA.2008.4601016","DOIUrl":null,"url":null,"abstract":"The number of times the trace of a certain function on an extension field assumes a fixed value in the base field is considered. It is shown that the set of all such values enjoys a Fourier transform like property with Kloosterman sums. The application of this property to coding and cryptography is briefly discussed.","PeriodicalId":345196,"journal":{"name":"2008 Information Theory and Applications Workshop","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on Kloosterman sums and its application\",\"authors\":\"I. Blake, T. Garefalakis\",\"doi\":\"10.1109/ITA.2008.4601016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The number of times the trace of a certain function on an extension field assumes a fixed value in the base field is considered. It is shown that the set of all such values enjoys a Fourier transform like property with Kloosterman sums. The application of this property to coding and cryptography is briefly discussed.\",\"PeriodicalId\":345196,\"journal\":{\"name\":\"2008 Information Theory and Applications Workshop\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-08-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Information Theory and Applications Workshop\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITA.2008.4601016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Information Theory and Applications Workshop","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITA.2008.4601016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The number of times the trace of a certain function on an extension field assumes a fixed value in the base field is considered. It is shown that the set of all such values enjoys a Fourier transform like property with Kloosterman sums. The application of this property to coding and cryptography is briefly discussed.
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