{"title":"Zadoff-Chu序列的二阶相关测度","authors":"Tae-Kyo Lee, Jin-Ho Chung, Kyeongcheol Yang","doi":"10.1109/IWSDA.2015.7458393","DOIUrl":null,"url":null,"abstract":"For an integer r ≥ 1, the rth-order correlation measure (or the correlation measure of order r) of a sequence was introduced in cryptography as a measure of immunity against correlation attacks. When r = 2, it can be viewed as the maximum value in a subset of magnitudes of partial-period autocorrelation for a given sequence. In this paper, we determine the second-order correlation measure of Zadoff-Chu sequences of any period and show that it is invariant to the design parameter for them.","PeriodicalId":371829,"journal":{"name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The second-order correlation measure of Zadoff-Chu sequences\",\"authors\":\"Tae-Kyo Lee, Jin-Ho Chung, Kyeongcheol Yang\",\"doi\":\"10.1109/IWSDA.2015.7458393\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For an integer r ≥ 1, the rth-order correlation measure (or the correlation measure of order r) of a sequence was introduced in cryptography as a measure of immunity against correlation attacks. When r = 2, it can be viewed as the maximum value in a subset of magnitudes of partial-period autocorrelation for a given sequence. In this paper, we determine the second-order correlation measure of Zadoff-Chu sequences of any period and show that it is invariant to the design parameter for them.\",\"PeriodicalId\":371829,\"journal\":{\"name\":\"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWSDA.2015.7458393\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2015.7458393","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The second-order correlation measure of Zadoff-Chu sequences
For an integer r ≥ 1, the rth-order correlation measure (or the correlation measure of order r) of a sequence was introduced in cryptography as a measure of immunity against correlation attacks. When r = 2, it can be viewed as the maximum value in a subset of magnitudes of partial-period autocorrelation for a given sequence. In this paper, we determine the second-order correlation measure of Zadoff-Chu sequences of any period and show that it is invariant to the design parameter for them.