The modular inversion hidden number problem
WebThe Modular Inversion Hidden Number Problem (MIHNP) was introduced by Boneh, Halevi and Howgrave-Graham in Asiacrypt 2001 (BHH’01). They provided two heuristics - in Method I, two-third of the output bits are required to solve the problem, whereas the more e cient heuristic (Method II) requires only one-third of the bits of the output. WebWe study a class of problems called Modular Inverse Hidden Number Problems (MIHNPs). The basic problem in this class is the following: Given many pairs x i ; msbk ( + x i ) mod p …
The modular inversion hidden number problem
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WebAbstract: We study a class of problems called Modular Inverse Hidden Number Problems (MIHNPs). The basic problem in this class is the following: Given many pairs (xi,MSB_k ( (a+xi)^ {-1} mod p)) for random xi 's in Zp, the problem is to find a. (Here MSB_k (x) refers to the k most significant bits of x ). We describe an algorithm for this ... WebNov 20, 2001 · We study a class of problems called Modular Inverse Hidden Number Problems (MIHNPs). The basic problem in this class is the following: Given many pairs 〈 …
WebJan 3, 2024 · Decades ago, a mathematician posed a warmup problem for some of the most difficult questions about prime numbers. It turned out to be just as difficult to solve, until now. Eric Nyquist for Quanta Magazine A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. WebOct 15, 2024 · In Asiacrypt 2001, Boneh et al. [ 4] introduced the modular inversion hidden number problem (MIHNP), which is a variant of HNP, in order to design pseudorandom number generator and message authentication code, and gave two polynomial time heuristic lattice methods for solving modular polynomials derived from MIHNP.
WebRevisiting Modular Inversion Hidden Number Problem and its applications Abstract: The Modular Inversion Hidden Number Problem (MIHNP), which was proposed at Asiacrypt … WebChapter 7 surveys the modular inversion hidden number problem, uses it to solve the elliptic curve and the algebraic torus hidden number problems, and provides bit security results for the corresponding Di e{Hellman key exchange. Chapter 8 introduces and solves the isogeny hidden number problem.
WebUsing Bleichenbacher’s Solution to the Hidden Number Problem to Attack Nonce Leaks in 384-Bit ECDSA Elke De Mulder 1, Michael Hutter;2*, Mark E ... Side Channel Analysis, ECDSA, Modular Inversion, Hid-den Number Problem, Bleichenbacher, FFT, LLL, BKZ. 1 Introduction In this paper we describe an attack against nonce leaks in 384-bit ECDSA [2] ...
WebThe Modular Inversion Hidden Number Problem Authors: D. Boneh, S. Halevi, and N. Howgrave-Graham. Abstract: We study a class of problems called Modular Inverse Hidden Number Problems (MIHNPs). The basic problem in this class is the following: Given many pairs (x_i, msb_k[1/(A+x_i) mod p]) for random x_i in Z_p the problem is to find A in Z_p ... cbts my hrWebInterested in the hidden number problem in (finite) extension fields, we study the following variant of the hidden number problem, which we call the multivariate hidden number problem. Here, the problem takes place over a ring R, on which a function fis defined, and the secret s = (s 1;:::;s m) is an m-tuple in Rm. Informally again, the ... cbts myhrWebAny product of a non-invertible number is a non-invertible number. There are other patterns you should try to find. Looking at these patterns, we are led to conjecture (as answer to … buspirone tachycardiaWebAug 31, 2016 · Howgrave-Graham, Nguyen and Shparlinski (Mathematics of Computation 2003) generalized this problem and called it Hidden Number Problem with Hidden Multiplier (HNPHM). It has application in security analysis of timed-release crypto. They proposed a polynomial time algorithm to solve HNPHM. buspirone taken with escitalopramWebIn this paper we revisit the modular inversion hidden number problem, which is to find a hidden number given several integers and partial bits of the corresponding modular … buspirone tcaWebIn this paper, we revisit three existing types of orthogonal lattice (OL) attacks and propose optimized cases to solve approximate common divisor (ACD) problems. In order to reduce both space and... buspirone treatsWebApr 1, 2014 · An instance of the Generic HNP problem is the Modular Inversion Hidden Number Problem (MIHNP) [10], also called F p-Inverse-HNP [9]. In MIHNP, we have D = T = F p \ { − α } , V = A = F p , where f α ( t ) = MSB k , p ( 1 α + t ) , where MSB k , p ( z ) means the (integer representing the) k most significant bits of z ( mod p ) , and the ... buspirone the same as buspirone hcl