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A New Method for Geometric Interpretation of Elliptic Curve Discrete Logarithm Problem
Intersection of Curves Grobner Basis Vanishing Ideals
2019/9/19
In this paper, we intend to study the geometric meaning of the discrete logarithm problem defined over an Elliptic Curve. The key idea is to reduce the Elliptic Curve Discrete Logarithm Problem (EC-DL...
Deterministic Cube Attacks: A New Method to Recover Superpolies in Practice
Trivium cube attacks key recovery attack
2018/11/12
Cube attacks are an important type of key recovery attacks against NFSR-based cryptosystems. The key step in cube attacks closely related to key recovery is recovering superpolies. However, in the pre...
A New Method to Investigate the CCZ-Equivalence between Functions with Low Differential Uniformity
Differentially 44-uniform function Projected differential spectrum Substitution boxes
2016/12/12
Recently, many new classes of differentially 44-uniform permutations have been constructed. However, it is difficult to decide whether they are CCZ-inequivalent or not. In this paper, we propose a new...
A New Method for Decomposition in the Jacobian of Small Genus Hyperelliptic Curves
Discrete Log Index calculus Hyperelliptic curve
2016/1/6
Decomposing a divisor over a suitable factor basis in the Jacobian of a hyperelliptic
curve is a crucial step in an index calculus algorithm for the discrete log problem in the
Jacobian. For small g...
A NEW METHOD OF CHOOSING PRIMITIVE ELEMENTS FOR BREZING-WENG FAMILIES OF PAIRING FRIENDLY ELLIPTIC CURVES
public-key cryptography / elliptic curves finite fields pairing-based cryptography
2013/4/18
In this paper we present a new method of choosing primitive elements for Brezing-Weng families of pairing friendly elliptic curves with small rho-value, and we improve on previously-known best rho-val...
A new method for constructing differential 4-uniform permutations from know ones
vectorial boolean function differential uniformity nonlinearity CCZ-equivalence almost perfect nonlinear (APN)
2011/2/23
It is observed that exchanging two values of a function over $\mathbb{F}_{2^n}$, its differential uniformity and nonlinearity change only a little. Using this idea, we find permutations of differentia...
Dual of New Method for Upper Bounding the Maximum Average Linear Hull Probability for SPNs
New Method Maximum Average Linear Hull Probability SPNs
2009/4/16
Dual of New Method for Upper Bounding the Maximum Average Linear Hull Probability for SPNs.
A New Method for Speeding Up Arithmetic on Elliptic Curves over Binary Fields
ECC(elliptic curve cryptosystem) binary field point doubling
2008/8/28
Now, It is believed that the best costs of a point doubling and addition on elliptic curves over binary fields are SM54+ (namely, four finite field multiplications and five field squarings) and , resp...