作者: 克制 時間: 2025-3-21 20:15 作者: INTER 時間: 2025-3-22 03:12 作者: CAGE 時間: 2025-3-22 04:45
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作者: 泥沼 時間: 2025-3-22 12:25
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作者: 未成熟 時間: 2025-3-22 15:40
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作者: 未成熟 時間: 2025-3-22 19:18 作者: chiropractor 時間: 2025-3-22 23:06 作者: arabesque 時間: 2025-3-23 01:22
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.作者: jumble 時間: 2025-3-23 07:50 作者: Oratory 時間: 2025-3-23 09:47
https://doi.org/10.1007/978-981-97-7241-4d literature. The descriptions of the various cryptosystems are not intended to be complete and are given only to provide a context for the arithmetic. The focus is on the essence of the algorithms, and the reader who requires them can readily find the details elsewhere.作者: GEM 時間: 2025-3-23 15:45
Sizheng Yan,Junping Du,Zhe Xue,Ang Libtraction, multiplication, and squaring; although subtraction is just an instance of addition, optimal squaring is not just multiplication with the same operand. The second section is on reduction. And the third section is on exponentiation, inversion, and division.作者: Postulate 時間: 2025-3-23 18:53
Dingwei Liu,Zhenyu Li,Zhibin Zhang 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.作者: objection 時間: 2025-3-23 22:57 作者: RUPT 時間: 2025-3-24 04:32
Bo Zhong,Pengfei Wang,Xiaoling Wangter covers some of the fundamentals of modular arithmetic and will be a brief review or introduction, according to the reader’s background. The first section of the chapter gives some basic definitions and mathematical properties. The second section is on the basic arithmetic operations, squares, an作者: subordinate 時間: 2025-3-24 07:02
https://doi.org/10.1007/978-981-97-7241-4d literature. The descriptions of the various cryptosystems are not intended to be complete and are given only to provide a context for the arithmetic. The focus is on the essence of the algorithms, and the reader who requires them can readily find the details elsewhere.作者: gentle 時間: 2025-3-24 12:57
Sizheng Yan,Junping Du,Zhe Xue,Ang Li 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作者: Alveolar-Bone 時間: 2025-3-24 17:57
Dan Yin,Sihang Fang,Tianshuo Wang,Maozu Guood ?.. 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作者: acrimony 時間: 2025-3-24 22:24 作者: Congregate 時間: 2025-3-25 02:26
Yanjie Luo,Lin Li,Xiaohua Wu,Xiaohui Taocurves: the main defining equations for the curves of interest and an explanation of the arithmetic operations of “addition” and “multiplication” in the context of elliptic curves. We shall follow standard practice and first define elliptic curves over the field of real numbers, with geometric and a作者: critic 時間: 2025-3-25 05:40 作者: 混亂生活 時間: 2025-3-25 11:26
Dingwei Liu,Zhenyu Li,Zhibin Zhang 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.作者: 陳腐的人 時間: 2025-3-25 12:09
https://doi.org/10.1007/978-3-030-34142-8cryptosystems; cryptography; computer arithmetic; modular arithmetic; finite fields; elliptic curves; comp作者: Root494 時間: 2025-3-25 16:12
978-3-030-34144-2Springer Nature Switzerland AG 2020作者: CYN 時間: 2025-3-25 20:20 作者: SPASM 時間: 2025-3-26 03:16 作者: 發(fā)展 時間: 2025-3-26 05:18
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.作者: ACME 時間: 2025-3-26 11:57
Amos R. OmondiIncludes 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作者: Hectic 時間: 2025-3-26 12:37 作者: 杠桿支點 時間: 2025-3-26 19:07 作者: 帽子 時間: 2025-3-27 00:48 作者: Mri485 時間: 2025-3-27 04:14
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.作者: neoplasm 時間: 2025-3-27 07:45
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.作者: EXPEL 時間: 2025-3-27 09:39
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作者: 飛鏢 時間: 2025-3-27 15:50
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.作者: 頌揚國家 時間: 2025-3-27 21:00
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作者: Ovulation 時間: 2025-3-27 23:46 作者: 外科醫(yī)生 時間: 2025-3-28 02:12
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.作者: occult 時間: 2025-3-28 07:54
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.作者: GAVEL 時間: 2025-3-28 10:28
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.作者: Senescent 時間: 2025-3-28 15:21
Mathematical Fundamentals II: Abstract Algebrare 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.作者: Host142 時間: 2025-3-28 20:26 作者: 愛管閑事 時間: 2025-3-29 01:41
Sizheng Yan,Junping Du,Zhe Xue,Ang Lis on reduction with respect to certain specific moduli, such as those that are significant because of their inclusion in some cryptography standards; the moduli all have forms that facilitate efficient reduction.作者: 枕墊 時間: 2025-3-29 05:49
Basic Computer Arithmetic direct form is (in this book) not as significant as addition and multiplication but which may nevertheless be useful in certain cases. The discussions on algorithms and architectures for division are therefore limited.作者: incisive 時間: 2025-3-29 10:39
Modular Reductions on reduction with respect to certain specific moduli, such as those that are significant because of their inclusion in some cryptography standards; the moduli all have forms that facilitate efficient reduction.作者: 觀點 時間: 2025-3-29 13:45
Book 2020fields. 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作者: Habituate 時間: 2025-3-29 16:11
