C. Doche
{"title":"有限域算法","authors":"C. Doche","doi":"10.1201/9781420034981.ch11","DOIUrl":null,"url":null,"abstract":"11.1 Prime fields of odd characteristic 201 Representations and reductions • Multiplication • Inversion and division • Exponentiation • Squares and square roots 11.2 Finite fields of characteristic 2 213 Representation • Multiplication • Squaring • Inversion and division • Exponentiation • Square roots and quadratic equations 11.3 Optimal extension fields 229 Introduction • Multiplication • Exponentiation • Inversion • Squares and square roots • Specific improvements for degrees 3 and 5","PeriodicalId":131128,"journal":{"name":"Handbook of Elliptic and Hyperelliptic Curve Cryptography","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Finite Field Arithmetic\",\"authors\":\"C. Doche\",\"doi\":\"10.1201/9781420034981.ch11\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"11.1 Prime fields of odd characteristic 201 Representations and reductions • Multiplication • Inversion and division • Exponentiation • Squares and square roots 11.2 Finite fields of characteristic 2 213 Representation • Multiplication • Squaring • Inversion and division • Exponentiation • Square roots and quadratic equations 11.3 Optimal extension fields 229 Introduction • Multiplication • Exponentiation • Inversion • Squares and square roots • Specific improvements for degrees 3 and 5\",\"PeriodicalId\":131128,\"journal\":{\"name\":\"Handbook of Elliptic and Hyperelliptic Curve Cryptography\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-07-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Handbook of Elliptic and Hyperelliptic Curve Cryptography\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781420034981.ch11\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Handbook of Elliptic and Hyperelliptic Curve Cryptography","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781420034981.ch11","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 15