{"title":"GF(5)上固定极性Reed-Muller变换的谱生成","authors":"B. Falkowski, C. C. Lozano, S. Rahardja","doi":"10.1109/ISMVL.2004.1319938","DOIUrl":null,"url":null,"abstract":"This paper examines several basic methods that can be used to obtain the fixed-polarity Reed-Muller (FPRM) spectra for functions defined over Galois field (5) (GF(5)). The fundamental concepts of the methods are discussed and their computational costs in terms of addition and multiplication numbers are presented. The experimental results for 5-valued functions, using the methods described in this paper, are also listed and compared with each other.","PeriodicalId":285497,"journal":{"name":"Proceedings. 34th International Symposium on Multiple-Valued Logic","volume":"126 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Spectra generation for fixed-polarity Reed-Muller transform over GF(5)\",\"authors\":\"B. Falkowski, C. C. Lozano, S. Rahardja\",\"doi\":\"10.1109/ISMVL.2004.1319938\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper examines several basic methods that can be used to obtain the fixed-polarity Reed-Muller (FPRM) spectra for functions defined over Galois field (5) (GF(5)). The fundamental concepts of the methods are discussed and their computational costs in terms of addition and multiplication numbers are presented. The experimental results for 5-valued functions, using the methods described in this paper, are also listed and compared with each other.\",\"PeriodicalId\":285497,\"journal\":{\"name\":\"Proceedings. 34th International Symposium on Multiple-Valued Logic\",\"volume\":\"126 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 34th International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2004.1319938\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 34th International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2004.1319938","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Spectra generation for fixed-polarity Reed-Muller transform over GF(5)
This paper examines several basic methods that can be used to obtain the fixed-polarity Reed-Muller (FPRM) spectra for functions defined over Galois field (5) (GF(5)). The fundamental concepts of the methods are discussed and their computational costs in terms of addition and multiplication numbers are presented. The experimental results for 5-valued functions, using the methods described in this paper, are also listed and compared with each other.
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