標(biāo)題: Titlebook: Cryptology and Error Correction; An Algebraic Introdu Lindsay N. Childs Textbook 2019 Springer Nature Switzerland AG 2019 Caeser ciphers.Ch [打印本頁] 作者: 搖尾乞憐 時間: 2025-3-21 18:17
書目名稱Cryptology and Error Correction影響因子(影響力)
書目名稱Cryptology and Error Correction影響因子(影響力)學(xué)科排名
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書目名稱Cryptology and Error Correction網(wǎng)絡(luò)公開度學(xué)科排名
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書目名稱Cryptology and Error Correction被引頻次學(xué)科排名
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書目名稱Cryptology and Error Correction讀者反饋
書目名稱Cryptology and Error Correction讀者反饋學(xué)科排名
作者: 過去分詞 時間: 2025-3-21 22:15 作者: GLEAN 時間: 2025-3-22 02:21
Factoring by the Quadratic Sieve,of units modulo a large prime. These methods are examined in sects. 4 and 5. Both methods described in this chapter are models for methods currently used in practice to try to crack those cryptosystems. An appendix compares the speed of Fermat’s original method of factoring with the grade school met作者: 自愛 時間: 2025-3-22 08:20
Water Institutions in the Middle East,r combinations of the two numbers. Matrices play a similar role in isolating and working efficiently with the coefficients of a system of linear equations in order to find solutions of the system. So they will show up again in Chaps.?., . and .. The chapter ends with a brief description of Hill cryp作者: Orchiectomy 時間: 2025-3-22 11:06 作者: Presbycusis 時間: 2025-3-22 15:31
Textbook 2019e well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory...This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two year作者: Presbycusis 時間: 2025-3-22 19:37 作者: JAMB 時間: 2025-3-23 00:50
Water Institutions in the Middle East,o find the greatest common divisor, and the Extended Euclidean Algorithm to write the greatest common divisor of two numbers as an integer linear combination of the two numbers (Bezout’s Identity). We show how to solve linear congruences and find all integer solutions of integer linear equations in 作者: 血統(tǒng) 時間: 2025-3-23 03:09
Werkstoffgruppen und Werkstoffeigenschaften, to prove the existence and uniqueness of factorization of any number > 1 into a product of prime numbers (the so-called Fundamental Theorem of Arithmetic), to prove the Division Theorem, and to prove the existence of Bezout’s Identity. Uniqueness of factorization permits an alternative description 作者: Resection 時間: 2025-3-23 09:25
,Zerst?rungsfreie Werkstoffprüfung,quotient rings. The immediate objective is to describe modular arithmetic as addition and multiplication in the ring ., of cosets of integers modulo the ideal consisting of all multiples of the modulus .. Doing so places modular arithmetic on a firm theoretical foundation. One consequence is to show作者: habile 時間: 2025-3-23 11:32
Diffusion. Atomare Platzwechsel,lynomials, and special cases of the latter, the Remainder Theorem and the Root Theorem. The main objective here is D’Alembert’s Theorem: a polynomial of degree . with coefficients in a field can have no more than . roots in the field. D’Alembert’s Theorem will become highly useful for explaining Ree作者: 慌張 時間: 2025-3-23 14:04 作者: braggadocio 時間: 2025-3-23 18:34 作者: 炸壞 時間: 2025-3-23 22:23 作者: 是比賽 時間: 2025-3-24 05:36
Institutions for Water Management in Mexico, method, for pairwise coprime moduli, uses Bezout’s Identity and yields the Chinese Remainder Theorem. An immediate application of this case is to speed up the decryption of messages in an RSA cryptosystem. For the general case of systems of congruences to non-coprime moduli, we show how to decide i作者: 充足 時間: 2025-3-24 07:59
Human Skin Equivalents: When and How to Use, product of rings or of groups. These concepts provide a suitable setting for proofs of the Chinese Remainder Theorem and for the formula satisfied by Euler’s phi function, which counts the number of units of the ring . in terms of the factorization of .. Ideas in this chapter will also be used in s作者: notice 時間: 2025-3-24 13:29 作者: 易于交談 時間: 2025-3-24 15:11 作者: Biguanides 時間: 2025-3-24 20:50 作者: 倔強不能 時間: 2025-3-25 01:11 作者: 鎮(zhèn)痛劑 時間: 2025-3-25 04:11 作者: Communicate 時間: 2025-3-25 09:17 作者: wangle 時間: 2025-3-25 12:57 作者: 恭維 時間: 2025-3-25 19:19 作者: 昏睡中 時間: 2025-3-25 20:02
Drugs, Wound Healing and Cutaneous Ulcers,This chapter presents the RSA cryptosystem, a much-heralded cryptosystem used worldwide. Large prime numbers are needed to construct an RSA cryptosystem, so the second half of the chapter is devoted to seeing how many large primes there are, and how to identify large primes with high confidence.作者: delegate 時間: 2025-3-26 01:40
RSA Cryptography and Prime Numbers,This chapter presents the RSA cryptosystem, a much-heralded cryptosystem used worldwide. Large prime numbers are needed to construct an RSA cryptosystem, so the second half of the chapter is devoted to seeing how many large primes there are, and how to identify large primes with high confidence.作者: Monotonous 時間: 2025-3-26 06:52
Lindsay N. ChildsExercises in each chapter are real-world application based.Provides solid mathematical preparation for more specialized applied courses on cryptography/error correction.Presents some of the remarkable作者: 脫離 時間: 2025-3-26 12:15
Springer Undergraduate Texts in Mathematics and Technologyhttp://image.papertrans.cn/d/image/240594.jpg作者: chemical-peel 時間: 2025-3-26 13:16
https://doi.org/10.1007/978-3-030-15453-0Caeser ciphers; Chinese Remainder Theorem; El Gamal cryptography; Lagrange‘s Theorem; Luhn‘s formula; Ver作者: Biomarker 時間: 2025-3-26 19:58
Springer Nature Switzerland AG 2019作者: 抵消 時間: 2025-3-26 22:27
Cryptology and Error Correction978-3-030-15453-0Series ISSN 1867-5506 Series E-ISSN 1867-5514 作者: kyphoplasty 時間: 2025-3-27 01:40
Human Skin Equivalents: When and How to Use, product of rings or of groups. These concepts provide a suitable setting for proofs of the Chinese Remainder Theorem and for the formula satisfied by Euler’s phi function, which counts the number of units of the ring . in terms of the factorization of .. Ideas in this chapter will also be used in some of the analyses in Chaps.?. and ..作者: 閑聊 時間: 2025-3-27 05:31 作者: obsession 時間: 2025-3-27 13:22 作者: Aqueous-Humor 時間: 2025-3-27 15:23
Polynomials,of degree . with coefficients in a field can have no more than . roots in the field. D’Alembert’s Theorem will become highly useful for explaining Reed-Solomon error correction in Chap.., and for understanding algorithms for factoring large numbers in cryptology. Polynomials will be revisited in Chap.?..作者: 碌碌之人 時間: 2025-3-27 20:29
,Orders and Euler’s Theorem,h is given a proof using the Binomial Theorem. The final section describes an efficient algorithm for computing a high power of a number modulo .. This algorithm will have both an obvious use in using the cryptosystems presented in Chaps.?. and . and a less obvious use to help construct cryptosystems in the last section of Chap.?..作者: chalice 時間: 2025-3-27 22:30
Solving Systems of Congruences,ed up the decryption of messages in an RSA cryptosystem. For the general case of systems of congruences to non-coprime moduli, we show how to decide if solutions exist, and if so, how to find all of the solutions.作者: 帽子 時間: 2025-3-28 04:13 作者: invert 時間: 2025-3-28 08:18 作者: 滋養(yǎng) 時間: 2025-3-28 10:33 作者: chuckle 時間: 2025-3-28 16:40 作者: arcane 時間: 2025-3-28 19:24 作者: formula 時間: 2025-3-29 01:30 作者: GAVEL 時間: 2025-3-29 06:40
Human Skin Equivalents: When and How to Use,l discussion of why decoding works relies on D’Alembert’s Theorem from Chap.?., and the decoding method requires some elementary knowledge of matrices and solving systems of linear equations, not all of which is found in Sect.?..作者: 發(fā)源 時間: 2025-3-29 09:47
Additional Topical Preparations,how the receiver can obtain the sequence efficiently using the Chinese Remainder Theorem, and, most crucially, why it is essentially necessary for a third party to factor the modulus . in order to crack the cryptosystem.作者: 整潔 時間: 2025-3-29 14:59
,An Introduction to Reed–Solomon Codes,l discussion of why decoding works relies on D’Alembert’s Theorem from Chap.?., and the decoding method requires some elementary knowledge of matrices and solving systems of linear equations, not all of which is found in Sect.?..作者: 不能約 時間: 2025-3-29 17:12 作者: 前奏曲 時間: 2025-3-29 23:14
1867-5506 ryptography/error correction.Presents some of the remarkableThis text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for? understanding these methods.? The object作者: Mast-Cell 時間: 2025-3-30 00:00
Werkstoffgruppen und Werkstoffeigenschaften,etic), to prove the Division Theorem, and to prove the existence of Bezout’s Identity. Uniqueness of factorization permits an alternative description of when one number divides another. It also provides alternate descriptions of the greatest common divisor and the least common multiple of two numbers.作者: 必死 時間: 2025-3-30 05:21 作者: ANIM 時間: 2025-3-30 09:39
Water Resources Development and Managementh is given a proof using the Binomial Theorem. The final section describes an efficient algorithm for computing a high power of a number modulo .. This algorithm will have both an obvious use in using the cryptosystems presented in Chaps.?. and . and a less obvious use to help construct cryptosystems in the last section of Chap.?..作者: 闡釋 時間: 2025-3-30 14:12 作者: 傷心 時間: 2025-3-30 17:19
Secure, Reliable Information, or the study of methods to add redundancy to a message to determine if it is compromised by errors, is illustrated by check digits in several settings, and by repetition coding, a special case of which has historically been known as triple modular redundancy.作者: flourish 時間: 2025-3-30 23:45 作者: Missile 時間: 2025-3-31 04:07
Rings and Fields, that if . is a prime number, then doing modular arithmetic modulo . is the same as working in ., and the latter is a field. So concepts and results involving polynomials (in Chap.?.) and matrices (in Chap.?.) make sense when the “numbers” are integers modulo a prime number ..作者: 構(gòu)成 時間: 2025-3-31 06:01 作者: BRACE 時間: 2025-3-31 13:14
Polynomials and Finite Fields,le polynomial in .[.], . a field, then the ring of cosets modulo the principal ideal generated by .(.) is also a field. Every finite field can be described in that way. The method also yields the complex numbers, when the field . is the field of real numbers and .. So complex numbers are cosets. They aren’t “imaginary” at all.作者: SLAY 時間: 2025-3-31 13:39
Reed-Solomon Codes II,tional effort required in decoding to solve the set of equations to recover the original word .(.) can be substantially reduced by first multiplying the matrix of coefficients by the inverse of a discrete Fourier transform.作者: Abrade 時間: 2025-3-31 21:24
Nutrition and Cutaneous Ulcers,ch groups by proving the Primitive Root Theorem, which states that for every prime number ., the group of units of . is a cyclic group. The chapter concludes with two methods that can be more efficient than constructing log tables for solving the discrete logarithm problem; one method involves use of the Chinese Remainder Theorem.作者: configuration 時間: 2025-3-31 22:29 作者: 詩集 時間: 2025-4-1 03:37
Cyclic Groups and Cryptography,ch groups by proving the Primitive Root Theorem, which states that for every prime number ., the group of units of . is a cyclic group. The chapter concludes with two methods that can be more efficient than constructing log tables for solving the discrete logarithm problem; one method involves use of the Chinese Remainder Theorem.
