{"product_id":"9789814623766","title":"Integer Algorithms In Cryptology And Information Assurance","description":"\u003cp\u003e\u003cb\u003eInteger Algorithms in Cryptology and Information Assurance\u003c\/b\u003e is a collection of the author's own innovative approaches in algorithms and protocols for secret and reliable communication. It concentrates on the “\u003ci\u003ewhat\u003c\/i\u003e” and “\u003ci\u003ehow\u003c\/i\u003e” behind implementing the proposed cryptographic algorithms rather than on formal proofs of “why” these algorithms work.\u003c\/p\u003e\u003cp\u003eThe book consists of five parts (in 28 chapters) and describes the author's research results in:\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eInnovative methods in cryptography (secret communication between initiated parties);\u003c\/li\u003e\n\u003cli\u003eCryptanalysis (how to break the encryption algorithms based on computational complexity of integer factorization and discrete logarithm problems);\u003c\/li\u003e\n\u003cli\u003eHow to provide a reliable transmission of information via unreliable communication channels and;\u003c\/li\u003e\n\u003cli\u003eHow to exploit a synergetic effect that stems from combining the cryptographic and information assurance protocols.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThis text contains innovative cryptographic algorithms; computationally efficient algorithms for information assurance; new methods to solve the classical problem of integer factorization, which plays a key role in cryptanalysis; and numerous illustrative examples and tables that facilitate the understanding of the proposed algorithms.\u003c\/p\u003e\u003cp\u003eThe fundamental ideas contained within are \u003ci\u003enot\u003c\/i\u003e based on temporary advances in technology, which might become obsolete in several years. The problems addressed in the book have their own intrinsic computational complexities, and the ideas and methods described in the book will remain important for years to come.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroductory Notes on Security and Reliability\u003c\/li\u003e\n\u003cli\u003eEnhanced Algorithm for Modular Multiplicative Inverse\u003c\/li\u003e\n\u003cli\u003eMultiplication of Large-Integers Based on Homogeneous Polynomials\u003c\/li\u003e\n\u003cli\u003eDeterministic Algorithms for Primitive Roots and Cyclic Groups with Mutual Generators\u003c\/li\u003e\n\u003cli\u003ePrimality Testing via Complex Integers and Pythagorean Triplets\u003c\/li\u003e\n\u003cli\u003eAlgorithm Generating Random Permutation\u003c\/li\u003e\n\u003cli\u003eExtractability of Square Roots and Divisibility Tests\u003c\/li\u003e\n\u003cli\u003eExtraction of Roots of Higher Order in Modular Arithmetic\u003c\/li\u003e\n\u003cli\u003ePublic-Key Cryptography Based on Square Roots and Complex Modulus\u003c\/li\u003e\n\u003cli\u003eCubic Roots of Complex Integers and Encryption with Digital Isotopes\u003c\/li\u003e\n\u003cli\u003eExponentiation-Free Accelerated Encryption\/Decryption Protocol\u003c\/li\u003e\n\u003cli\u003eCryptocol Based on Three-Dimensional Elliptic Surface\u003c\/li\u003e\n\u003cli\u003eMulti-Parametric Cryptography for Rapid Transmission of Information\u003c\/li\u003e\n\u003cli\u003eScheme for Digital Signature that Always Works\u003c\/li\u003e\n\u003cli\u003eHybrid Cryptographic Protocols Providing Digital Signature\u003c\/li\u003e\n\u003cli\u003eControl Protocols Providing Information Assurance\u003c\/li\u003e\n\u003cli\u003eInformation Assurance Based on Cubic Roots of Integers\u003c\/li\u003e\n\u003cli\u003eSimultaneous Information Assurance and Encryption Based on Quintic Roots\u003c\/li\u003e\n\u003cli\u003eModular Equations and Integer Factorization\u003c\/li\u003e\n\u003cli\u003eCounting Points on Hyper-Elliptic Curves and Integer Factorization\u003c\/li\u003e\n\u003cli\u003eInteger Factorization via Constrained Discrete Logarithm Problem\u003c\/li\u003e\n\u003cli\u003eDecomposability of Discrete Logarithm Problems\u003c\/li\u003e\n\u003cli\u003eDetecting Intervals and Order of Point on Elliptic Curve\u003c\/li\u003e\n\u003cli\u003eGeneralization of Gauss Theorem and Computation of Complex Primes\u003c\/li\u003e\n\u003cli\u003eSpace Complexity of Algorithm for Modular Multiplicative Inverse\u003c\/li\u003e\n\u003cli\u003eNew Algorithm Can Be Computed\u003c\/li\u003e\n\u003cli\u003eSearch for Period of Odd Function\u003c\/li\u003e\n\u003cli\u003eOptimized Search for Maximum of Function on Large Intervals\u003c\/li\u003e\n\u003cli\u003eTopological Design of Satellite Communication Networks\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Integer Algorithms in Cryptology and Information Assurance would be a book of interest for researchers and developers working on telecommunication security and\/or reliability, in industries such as business and banking, national security agencies, militaries, interplanetary space exploration, and telemedicine. Faculty members in Computer Science, Electrical Engineering, Information Technology, Bio-Engineering and Applied Mathematics Departments, who are planning to teach advanced courses in cryptography; graduate and PhD students; advanced undergraduate students of the same fields; and various national cryptographic societies would also find this book useful. \u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eInnovative cryptographic algorithms\u003c\/li\u003e\n\u003cli\u003eComputationally efficient algorithms for information assurance\u003c\/li\u003e\n\u003cli\u003eNew methods to solve the classical problem of integer factorization, which plays a key role in cryptanalysis\u003c\/li\u003e\n\u003cli\u003eNumerous illustrative examples and tables that facilitate understanding of the proposed algorithms\u003c\/li\u003e\n\u003cli\u003eThe style of the book, which concentrates on constructive description of \u003ci\u003ewha\u003c\/i\u003et and \u003ci\u003ehow\u003c\/i\u003e to implement the proposed cryptographic algorithms rather than on formal proofs of why these algorithms work\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47137850491120,"sku":"9789814623766","price":57.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814623766_p0.jpg?v=1763691687","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814623766","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}