Experiments demonstrate that the factorization problem in cryptography can be solved more efficiently by employing algorithms designed for fast and straightforward multiplication of large numbers. Examples include the Schnhage–Strassen algorithm, which is based on polynomials and Fourier transforms, the Für...
The booming of quantum algorithm casts distrust on many public key cryptosystems based on integer factorization problem, discrete logarithm, and other assumed intractable problems over certain abelian groups. Conjugacy systems based on nonabelian factorization problems and their applications in cryptography On...
海外直订Primality Testing and Integer Factorization in Public-Key Cryptography 公钥密码中的素数检验与整数分解 已售少于100 ￥1789点击查看更多配送: 广东佛山至 阳泉市城区 快递: 免运费预售,付款后80天内发货 保障:7天无理由退货 破损包退查看更多 用户评价 参数信息 图文详情 本店推荐...
toanopenproblemposedbyZheng,namelytofindasigncryption schemebasedontheintegerfactorizationproblem.Inparticular,we provethatourschemeisexistentiallyunforgeable,intherandomora- clemodel,subjecttotheassumptionthatfactoringanRSAmodulus N=pq(withpandqprime)ishardevenwhengiventheadditionalpair ...
Factorization using binary decision diagrams We address the factorization problem in this paper: Given an integer [equation], find two factors [equation] and [equation] of [equation] such that [equati... Raddum, Hvard,S Varadharajan - 《Cryptography & Communications》 被引量: 0发表: 2018年 ...
In those cases where factorizations can be shown to be unique in the above sense, the term "prime" is often restricted to those irreducible elements which are not invertible and have some ad hoc additional feature which ensures factorization unicity. (We keep as primes only positive numbers in...
Integer factorization is known to be one of the most important and useful methods in number theory and arithmetic. It also has a very close relationship to some algorithms in cryptography such as RSA algorithm. The RSA cryptosystem is one of the most popular and attractive public-key cryptosystem...
In general, in the Hadamard factorization f(z) = eQ(z) P(z) of a function of finite order ρ if ρ is not an integer, the growth of f is determined by the growth of P, whereas if ρ is an integer the growth of eQ may dominate (but not necessarily). In any case, ρ = max...
hardertofulfilthaninthepast.Thisisduetogrowinginterestinnewpublic-keyalgorithms andrecentdevelopmentsincryptanalysis,progressinthefactorizationoflongintegers,and newattackslikethetimingattack,thedifferentialfaultanalysis,theSPA,andtheDPA.We requireimmunityagainsttheseattacksandalsooptimalsupportofpublic-keyalgorithms...
An Efficient Provably Secure IBS Technique Using Integer Factorization ProblemDigital signatures are among the most fundamental primitives in cryptography, providing in an asymmetric setting, integrity, authenticity, and non-repudiation. An important technique for lightweight authentication is the identity-...