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The Jacobi symbol algorithm

Published:1982-02 Issue:1 Volume:16 Page:12-16
ISSN:0163-5824
Container-title:ACM SIGSAM Bulletin
language:en
Short-container-title:SIGSAM Bull.

Author:

Collins George E.¹,Loos Rüdiger G. K.²

Affiliation:

1. University of Wisconsin, Madison

2. Universität Karlsruhe

Abstract

We describe a Jacobi symbol algorithm, verify its correctness and analyse its maximum computing time, which is codominant with the product of the length of the inputs.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/1089297.1089299

Reference6 articles.

1. A Fast Monte-Carlo Test for Primality

2. An axiomatic basis for computer programming

3. The Computing Time of the Euclidean Algorithm

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Efficient verification of Tunnell’s criterion;Japan Journal of Industrial and Applied Mathematics;2007-10

2. The Genesis of Quadratic Reciprocity;Springer Monographs in Mathematics;2000

3. Efficient algorithms for computing the Jacobi symbol;Lecture Notes in Computer Science;1996

4. A binary algorithm for the Jacobi symbol;ACM SIGSAM Bulletin;1993-01

5. On the worst case of three algorithms for computing the Jacobi symbol;Journal of Symbolic Computation;1990-12

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