数域筛法(Number Field Sieve)是目前渐进最快的通用因子分解方法,其时间复杂度为二次筛法(QS) 无论素数判定还是因子分解,试除 …blog.csdn.net|基于7个网页 2. 数域筛选因数分解法 4.5 数域筛选因数分解法(Number Field Sieve)...37第5章 通用型数域筛选因数分解法(General Number Field...thesis.lib.ncu...
【number field sieve 算法的优化与应用】 在实际应用中,为了提高算法的效率,通常会对 number field sieve 算法进行优化。例如,在第 2 步中,可以只将质因数对 (a, b) 的乘积 ab 的个位数加入列表,以减少计算量。此外,数域筛法还可以与其他算法相结合,如大素数测试算法,以提高求解效率。 综上所述,number fi...
A. "World Wide Number Field Sieve Factoring Record: On to 512 Bits." In Advances in Cryptology--ASIACRYPT '96 (Kyongju) (Ed. K. Kim and T. Matsumoto.) New York: Springer-Verlag, pp. 382-394, 1996.Elkenbracht-Huizing, R.-M. "A Multiple Polynomial General Number Field Sieve." ...
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1) number field sieve 数域筛法 1. Thenumber field sieve(NFS) is the asymptotically fastest method known thus far. 数域筛法是目前最快的(渐进意义下)整数分解方法。 2. Thenumber field sieve(NFS) is the asymptotically fastest factoring method known. ...
Synonyms Number field sieve Related Concepts Discrete Logarithm Problem ; Function Field Sieve ; Generic Attacks Against DLP ; Index Calculus ; Integer Factoring ; Number Field Sieve for Factoring ; Sieving in Function Fields Definition The number field sieve for the discrete logarithm problem , or ...
第三十七个知识点: The Number Field Sieve 数域筛法(The Number Field Sieve ,NFS)是已知的分解算法中最有效率的。它的运行时间取决于被分解的数的大小而不是它的因子的大小。NFS算法的分解基于平方同余理论:给定一个大整数NN,我们想要找到两个不同的整数xx和yy使得x2=y2modNx2=y2modN。然后我们希望gcd(x...
THE NUMBER FIELD SIEVE FACTORING ALGORITHM In my last paper, I described the Quadratic Sieve (QS) and it's variants, including a very abbreviated history of the factoring problem. In this paper I will discuss the Number Field Sieve (NFS), that is, the algorithm itself, along with... E ...
Number field sieve 来自 Semantic Scholar 喜欢 0 阅读量: 2 作者: L Grenié 摘要: We are trying to compute the class group of a number K field using Buchmann algorithm. Let n be the dimension of K, OK its ring of integers. Basically one computes a limit T such that BT = {p :...
the General Number Field Sieve. 青云英语翻译 请在下面的文本框内输入文字,然后点击开始翻译按钮进行翻译,如果您看不到结果,请重新翻译! 翻译结果1翻译结果2翻译结果3翻译结果4翻译结果5 翻译结果1复制译文编辑译文朗读译文返回顶部 一般数域筛。 翻译结果2复制译文编辑译文朗读译文返回顶部...