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Semi-Adaptive Attribute-Based Encryption and Improved Delegation for Boolean Formula
Attribute-Based Encryption Semi-Adaptive Security Delegation
2016/1/9
We consider semi-adaptive security for attribute-based encryption, where the adversary specifies the
challenge attribute vector after it sees the public parameters but before it makes any secret key ...
A More Explicit Formula for Linear Probabilities of Modular Addition Modulo a Power of Two
Modular addition modulo a power of two Linear probability Symmetric cipher
2016/1/5
Linear approximations of modular addition modulo a power of two was studied by Wallen in 2003. He presented an efficient algorithm for computing linear probabilities of modular addition. In 2013 Scult...
We give an algorithm for decomposing given element of Jacobian gruop into the sum of the decomposed factor, which consists of certain subset of the points of curve.
A Gross-Zagier formula for quaternion algebras over totally real fields
public-key cryptography hyperelliptic curve cryptosystem
2012/6/14
We prove a higher dimensional generalization of Gross and Zagier's theorem on the factorization of differences of singular moduli. Their result is proved by giving a counting formula for the number of...
A Gross-Zagier formula for quaternion algebras over totally real fields
public-key cryptography hyperelliptic curve cryptosystem
2012/3/20
We prove a higher dimensional generalization of Gross and Zagier's theorem on the factorization of differences of singular moduli. Their result is proved by giving a counting formula for the number of...
A Gross-Zagier formula for quaternion algebras over totally real fields
public-key cryptography hyperelliptic curve cryptosystem
2012/8/28
We prove a higher dimensional generalization of Gross and Zagier's theorem on the factorization of differences of singular moduli. Their result is proved by giving a counting formula for the number of...
Simple and Exact Formula for Minimum Loop Length in Ate_i Pairing based on Brezing-Weng Curves
elliptic curve cryptosystem pairing number theory
2011/2/23
We provide a simple and exact formula for the minimum Miller loop length in Ate_i pairing based on Brezing-Weng curves, in terms of the involved parameters, under a mild condition on the parameters. I...
Simple and Exact Formula for Minimum Loop Length in Ate_i Pairing based on Brezing-Weng Curves
public-key cryptography / elliptic curve cryptosystem pairing, number theory
2012/3/30
We provide a simple and exact formula for the minimum Miller loop length in Ate_i pairing based on Brezing-Weng curves, in terms of the involved parameters, under a mild condition on the parameters. I...
Number formula and degree level of ergodic polynomial functions over $\mathbb{Z}$/$2^{n}\mathbb{Z}$ and generalized result of linear equation on ergodic power-series T-Function
T-function ergodic polynomial ergodic power-series
2010/9/29
In this paper, using Anashin's general theory, some detail combinatorial result of stirling numbers and Larin's result , we can give the counting formula for the given degree polynomial ergodic(single...
A mean value formula for elliptic curves
elliptic curves point multiplication division polynomial
2009/12/29
It is proved in this paper that for any point on an elliptic curve,
the mean value of x-coordinates of its n-division points is the same as
its x-coordinate.