Making, Breaking Codes : Introduction to Cryptology

Making, Breaking Codes : Introduction to Cryptology
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制作、破译密码:密码学导论

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发表时间:
2001
期刊:
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通讯作者:
Paul B. Garrett
Paul B. Garrett
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文献类型:
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作者:
Paul B. Garrett

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来自出版商: 这本独特的书解释了古典和现代密码学的基本问题,并提供了数论、抽象代数和概率论的基本数学背景,以及对复杂性理论和其他东西的相关部分的调查。一个用户友好的,脚踏实地的语气提出了具体的动机介绍这些主题。更详细的章节主题包括简单密码;概率思想的应用;代换、换位、置换;现代对称密码;整数;素数;模素数的幂和根;复合模的幂和根;弱乘法函数;二次符号、二次互易;伪素数;群;协议的草图;环、场、多项式;分圆多项式、原根;伪随机数生成器;关于伪素性的证明;因式分解攻击有限域;以及椭圆曲线。适用于计算机安全、系统管理和信息系统方面的人员。
From the Publisher: This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probabilitywith surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics. More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.