ON SHANK'S ALGORITHM FOR MODULAR SQUARE ROOTS

被引：0
|
作者：
Schlage-Puchta, Jan-Christoph [1 ]
机构：
[1] Math Inst, Eckerstr 1, D-79111 Freiburg, Germany
来源：
APPLIED MATHEMATICS E-NOTES | 2005年 / 5卷
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let p be a prime number, p = 2(n)q+ 1, where q is odd. D. Shanks described an algorithm to compute square roots (mod p) which needs O(log q + n(2)) modular multiplications. In this note we describe two modifications of this algorithm. The first needs only O(log q + n(3/2)) modular multiplications, while the second is a parallel algorithm which needs n processors and takes O(log q + n) time.
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页码：84 / 88
页数：5
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