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Titlebook: Cryptography Arithmetic; Algorithms and Hardw Amos R. Omondi Book 2020 Springer Nature Switzerland AG 2020 cryptosystems.cryptography.compu

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书目名称Cryptography Arithmetic
副标题Algorithms and Hardw
编辑Amos R. Omondi
视频video
概述Includes numerous, easy-to-follow examples of numerical computations, as well as simple and clear diagrams with descriptions of hardware.Describes arithmetic algorithms and corresponding hardware arch
丛书名称Advances in Information Security
图书封面Titlebook: Cryptography Arithmetic; Algorithms and Hardw Amos R. Omondi Book 2020 Springer Nature Switzerland AG 2020 cryptosystems.cryptography.compu
描述Modern cryptosystems, used in numerous applications that require secrecy or privacy - electronic mail, financial transactions, medical-record keeping, government affairs, social media etc. - are based on sophisticated mathematics and algorithms that in implementation involve much computer arithmetic. And for speed it is necessary that the arithmetic be realized at the hardware (chip) level. This book is an introduction to the implementation of cryptosystems at that level..The aforementioned arithmetic is mostly the arithmetic of finite fields, and the book is essentially one on the arithmetic of prime fields and binary fields in the context of cryptography. The book has three main parts. The first part is on generic algorithms and hardware architectures for the basic arithmetic operations: addition, subtraction, multiplication, and division. The second part is on the arithmetic of prime fields. And the third part is on the arithmetic of binary fields. The mathematical fundamentals necessary for the latter two parts are included, as are descriptions of various types of cryptosystems, to provide appropriate context..This book is intended for advanced-level students in Computer Scienc
出版日期Book 2020
关键词cryptosystems; cryptography; computer arithmetic; modular arithmetic; finite fields; elliptic curves; comp
版次1
doihttps://doi.org/10.1007/978-3-030-34142-8
isbn_softcover978-3-030-34144-2
isbn_ebook978-3-030-34142-8Series ISSN 1568-2633 Series E-ISSN 2512-2193
issn_series 1568-2633
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Modular Reduction that results are within range, even though some intermediate value will most likely might not be. The first two sections of the chapter cover two well-known methods for modular reduction that are commonly used in cryptography arithmetic: . and . . The third section—a short one–is on a method that m
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Modular Addition and Multiplicationod  .. Subtraction and division are also included—as the addition of an inverse and as multiplication by an inverse. The underlying algorithms and hardware structures are those of Chap. ., modified for modular arithmetic. For both operations we shall consider generic algorithms and hardware structur
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Mathematical Fundamentals II: Abstract Algebramilar operations can be defined over other mathematical structures—certain subsets of integers, polynomials, matrices, and so forth. This chapter is a short discussion on such generalizations. The first section of the chapter is an introduction to two types of abstract mathematical structures that a
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Normal-Basis Arithmetic operations. The first section—a short one—is on addition and squaring; both are very simple operations with a normal basis. The second section is on multiplication, a more complicated operation than the preceding two. And the last section is on exponentiation, inversion, and division.
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