{"title":"Generalized splitting-ring number theoretic transform","authors":"Zhichuang Liang, Yunlei Zhao, Zhenfeng Zhang","doi":"10.1007/s11704-024-3288-9","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we propose GSR-NTT and demonstrate that K-NTT, H-NTT, and G3-NTT are specific instances of GSR-NTT. We introduce a succinct methodology for complexity analysis, and utilize our GSR-NTT to accelerate polynomial multiplications in NTTRU and power-of-three cyclotomic rings.</p>","PeriodicalId":12640,"journal":{"name":"Frontiers of Computer Science","volume":"86 1","pages":""},"PeriodicalIF":3.4000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Frontiers of Computer Science","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s11704-024-3288-9","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we propose GSR-NTT and demonstrate that K-NTT, H-NTT, and G3-NTT are specific instances of GSR-NTT. We introduce a succinct methodology for complexity analysis, and utilize our GSR-NTT to accelerate polynomial multiplications in NTTRU and power-of-three cyclotomic rings.
期刊介绍:
Frontiers of Computer Science aims to provide a forum for the publication of peer-reviewed papers to promote rapid communication and exchange between computer scientists. The journal publishes research papers and review articles in a wide range of topics, including: architecture, software, artificial intelligence, theoretical computer science, networks and communication, information systems, multimedia and graphics, information security, interdisciplinary, etc. The journal especially encourages papers from new emerging and multidisciplinary areas, as well as papers reflecting the international trends of research and development and on special topics reporting progress made by Chinese computer scientists.