{"title":"Reed-Muller-Fourier versus Galois field representations of four-valued logic functions","authors":"R. Stankovic, D. Jankovic, C. Moraga","doi":"10.1109/ISMVL.1998.679340","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce Reed-Muller-Fourier representations of four-valued functions over the ring of integers modulo 4 and compare them with the Galois field representations over GF(4). It is reported that on the average Reed-Muller-Fourier representations exhibit a lower complexity than those based on Galois field polynomials.","PeriodicalId":377860,"journal":{"name":"Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138)","volume":"18 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 1998 28th IEEE International Symposium on Multiple- Valued Logic (Cat. No.98CB36138)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1998.679340","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
In this paper, we introduce Reed-Muller-Fourier representations of four-valued functions over the ring of integers modulo 4 and compare them with the Galois field representations over GF(4). It is reported that on the average Reed-Muller-Fourier representations exhibit a lower complexity than those based on Galois field polynomials.
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