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Quantum Resource Estimates for Computing Elliptic Curve Discrete Logarithms
Quantum cryptanalysis elliptic curve cryptography elliptic curve discrete logarithm problem
2017/6/22
We give precise quantum resource estimates for Shor's algorithm to compute discrete logarithms on elliptic curves over prime fields. The estimates are derived from a simulation of a Toffoli gate netwo...
Revisiting the Hybrid Attack: Improved Analysis and Refined Security Estimates
Hybrid Attack Lattice-based Cryptography Cryptanalysis
2016/7/29
Over the past decade, the hybrid lattice reduction and meet-in-the middle attack (called the Hybrid Attack) has been used to evaluate the security of many lattice-based cryprocraphic schemes such as N...
Low Linear Complexity Estimates for Coordinate Sequences of Linear Recurrences of Maximal Period over Galois Ring
linear recurrent sequence linear complexity/rank estimations pseudo-random sequences
2016/3/1
In this work we provide low rank estimations for coordinate sequences of linear recurrent sequences (LRS) of maximal period (MP) over Galois ring R=GR(pn,r), p≥5, r≥2, with numbers s such that s=kr+2,...
Joint Data and Key Distribution of the Linear Cryptanalysis Test Statistic and Its Impact to Data Complexity Estimates of Multiple/Multidimensional Linear and Truncated Differential Attacks
multidimensional linear attack zero-correlation linear
2015/12/22
The power of a statistical attack is inversely proportional to
the number of plaintexts necessary to recover information on the encryption
key. By analyzing the distribution of the random variables ...
An Extended Quadratic Frobenius Primality Test with Average Case Error Estimates
Quadratic Frobenius Primality Test Average Case Error Estimates
2009/4/16
We present an Extended Quadratic Frobenius Primality Test (EQFT),
which is related to the Miller-Rabin test and the Quadratic Frobenius test
(QFT) by Grantham. EQFT is well-suited for generating lar...