{"title":"GF(3)逻辑上的快速变换族","authors":"B. Falkowski, Cheng Fu","doi":"10.1109/ISMVL.2003.1201424","DOIUrl":null,"url":null,"abstract":"New classes of recursive transforms over GF(3) have been introduced here. They are based on simple recursive equations what allows to obtain corresponding fast forward and inverse transforms and very regular butterfly diagrams. The classification is further extended into various transforms with horizontal and vertical permutations. The relations between various classes of introduced ternary transforms are also discussed.","PeriodicalId":434515,"journal":{"name":"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Family of fast transforms over GF(3) logic\",\"authors\":\"B. Falkowski, Cheng Fu\",\"doi\":\"10.1109/ISMVL.2003.1201424\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New classes of recursive transforms over GF(3) have been introduced here. They are based on simple recursive equations what allows to obtain corresponding fast forward and inverse transforms and very regular butterfly diagrams. The classification is further extended into various transforms with horizontal and vertical permutations. The relations between various classes of introduced ternary transforms are also discussed.\",\"PeriodicalId\":434515,\"journal\":{\"name\":\"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2003.1201424\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"33rd International Symposium on Multiple-Valued Logic, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2003.1201424","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New classes of recursive transforms over GF(3) have been introduced here. They are based on simple recursive equations what allows to obtain corresponding fast forward and inverse transforms and very regular butterfly diagrams. The classification is further extended into various transforms with horizontal and vertical permutations. The relations between various classes of introduced ternary transforms are also discussed.