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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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Modular Exponentiation, Inversion, and DivisionModular exponentiation is the computation of .. mod  ., and multiplicative modular inversion is the computation of . such that . ∗ . mod  . = 1. This chapter consists of two sections, one each on the two operations. Modular division is included implicitly in the second, as in practice it is effected as multiplication by an inverse.
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Elliptic-Curve CryptosystemsThis chapter consists of short descriptions of a few elliptic-curve cryptosystems. Examples of three types of cryptosystem are given: ., ., and .. The descriptions are intended to provide no more than a context for the arithmetic, and the reader who wishes to properly learn about the systems should consult the relevant literature.
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1568-2633 cribes arithmetic algorithms and corresponding hardware archModern 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 algori
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Dan Yin,Sihang Fang,Tianshuo Wang,Maozu Guodware structures are those of Chap. ., modified for modular arithmetic. For both operations we shall consider generic algorithms and hardware structures for arbitrary moduli and also those for special moduli.
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Book 2020 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 cr
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Bo Zhong,Pengfei Wang,Xiaoling Wangd square roots. The third section is on the ., a particularly important result in the area. And the last section is on ., unconventional representations that can facilitate fast, carry-free arithmetic.
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Sizheng Yan,Junping Du,Zhe Xue,Ang Lire especially important in cryptography: . and .. The second section consists of a review of ordinary polynomial arithmetic. The third section draws on the first two sections and covers polynomial arithmetic over certain types of fields. And the last section is on the construction of some fields that are especially important in cryptography.
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Mathematical Fundamentals I: Number Theoryd square roots. The third section is on the ., a particularly important result in the area. And the last section is on ., unconventional representations that can facilitate fast, carry-free arithmetic.
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