{"title":"“16-QAM Golay互补序列的新构造”及64-QAM Golay序列的推广","authors":"Ying Li","doi":"10.1109/TIT.2008.924735","DOIUrl":null,"url":null,"abstract":"For original article by C.V. Chong see ibid. Vol.49, no.11, p.2953-2959, Nov. 2003. Some corrections are given for the sequence pairing descriptions of 16-QAM Golay complementary sequences in Chong, Venkataramani, and Tarokh's paper, together with a related correction for Lee and Golomb's 64-QAM Golay sequence construction. Lee and Golomb obtained 496, 808, and 976 offset pairs for length 2m 64-QAM Golay sequences, m = 2,3,4. We obtained 724, 972, and 1224 offset pairs. Adding w = 1 to Case III in Lee and Golomb's construction gives some additional offset pairs, others are new and exist for m ges 3 only. Descriptions of new offset pairs and enumeration for all first order offset pairs are proposed as conjectures. An example is given to show that there exist other 64-QAM Golay sequences not within this construction.","PeriodicalId":13250,"journal":{"name":"IEEE Trans. Inf. Theory","volume":"30 1","pages":"3246-3251"},"PeriodicalIF":0.0000,"publicationDate":"2008-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"55","resultStr":"{\"title\":\"Comments on \\\"A New Construction of 16-QAM Golay Complementary Sequences\\\" and Extension for 64-QAM Golay Sequences\",\"authors\":\"Ying Li\",\"doi\":\"10.1109/TIT.2008.924735\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For original article by C.V. Chong see ibid. Vol.49, no.11, p.2953-2959, Nov. 2003. Some corrections are given for the sequence pairing descriptions of 16-QAM Golay complementary sequences in Chong, Venkataramani, and Tarokh's paper, together with a related correction for Lee and Golomb's 64-QAM Golay sequence construction. Lee and Golomb obtained 496, 808, and 976 offset pairs for length 2m 64-QAM Golay sequences, m = 2,3,4. We obtained 724, 972, and 1224 offset pairs. Adding w = 1 to Case III in Lee and Golomb's construction gives some additional offset pairs, others are new and exist for m ges 3 only. Descriptions of new offset pairs and enumeration for all first order offset pairs are proposed as conjectures. An example is given to show that there exist other 64-QAM Golay sequences not within this construction.\",\"PeriodicalId\":13250,\"journal\":{\"name\":\"IEEE Trans. Inf. Theory\",\"volume\":\"30 1\",\"pages\":\"3246-3251\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"55\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Trans. Inf. Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TIT.2008.924735\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Trans. Inf. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TIT.2008.924735","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comments on "A New Construction of 16-QAM Golay Complementary Sequences" and Extension for 64-QAM Golay Sequences
For original article by C.V. Chong see ibid. Vol.49, no.11, p.2953-2959, Nov. 2003. Some corrections are given for the sequence pairing descriptions of 16-QAM Golay complementary sequences in Chong, Venkataramani, and Tarokh's paper, together with a related correction for Lee and Golomb's 64-QAM Golay sequence construction. Lee and Golomb obtained 496, 808, and 976 offset pairs for length 2m 64-QAM Golay sequences, m = 2,3,4. We obtained 724, 972, and 1224 offset pairs. Adding w = 1 to Case III in Lee and Golomb's construction gives some additional offset pairs, others are new and exist for m ges 3 only. Descriptions of new offset pairs and enumeration for all first order offset pairs are proposed as conjectures. An example is given to show that there exist other 64-QAM Golay sequences not within this construction.
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