大素数测试算法的研究与实现
【摘要】随着近代密码学的发展,素数被更多地运用于实际问题。而RSA算法的关键在于大素数的生成、存储和运算速度。本文通过研究素数测试的相关定理和算法原理,在个人PC上,使用VC编程语言,在其编程环境中实现RC等算法。通过测试验证算法效率,讨论用素数进行预测试处理后的效率。希望本文能使人们对素数测试有初步的了解。
【关键词】素数, 测试, 预处理
The Research on the Algorithm of Primality Testing for Large Numbers
【Abstract】 With the development of modern cryptography, prime numbers are widely applied to pracitcal issues. Moreover, the key to the RSA algorithm is the generation, storage and calculation speed of large prime numbers. By analysing the theorem and principal of primality testing, this paper use VC language in a PC, and then achieve the RC algorithm and also. What’s more, I test the efficiency of the algorithm, and discuss its efficiency after pre-processing with prime numbers. Finally, I hope that this paper can help people understand the primality testing.
【Key words】prime number, testing, pre-rocessing
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有意者可修改中文部分。
...帮忙修改一下,谢谢!有意者可修改中文部分。
The Research and Implementation of the Testing Algorithm of Big Prime Number 【摘要】随着近代密码学的发展,素数被更多地运用于实际问题。而RSA算法的关键在于大素数的生成、存储和运算速度。本文通过研究素数测试的相关定理和算法原理,在个人PC上,使用VC编程语言,在其编程环境中实现RC等算法。另外,...
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