Algebra and Number Theory

Algebra and Number Theory
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代数和数论

DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
H. Knebl
H. Knebl
中科院分区:
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文献类型:
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作者:
H. Delfs;H. Knebl

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公钥密码系统基于模运算。在这一节中,我们总结了代数和数论中的概念和结果,这对于理解密码学方法是必要的。关于数论和模算术的教科书包括[HarWri79],[IreRos82],[Rose94],[Forster96]和[Rosen2000]。本节还旨在建立符号。我们假设读者熟悉代数的基本概念,例如群、环和域。
Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000]. This section is also intended to establish notation. We assume that the reader is familiar with the elementary notions of algebra, such as groups, rings and fields.