Inverses of measures on a class of discrete groups by C. Karanikas

Subjects: “…discrete groups…”
Get full text

Novel Web Service Selection Model Based on Discrete Group Search by Jie Zhai, Zhiqing Shao, Yi Guo, Haiteng Zhang

“…We propose the cost function and the discrete group search optimizer (D-GSO) algorithm and study the convergence of the D-GSS model through verification and test cases.…”
Get full text

On nonamenable groups by Su-Shing Chen

“…A sufficient condition is given for a countable discrete group G to contain a free subgroup of two generators.…”
Get full text

Projections in Moduli Spaces of the Kleinian Groups by Hala Alaqad, Jianhua Gong, Gaven Martin

“…A two-generator Kleinian group f,g can be naturally associated with a discrete group f,ϕ with the generator ϕ of order two and where f,ϕfϕ−1=f,gfg−1⊂f,g,f,ϕ: f,gfg−1=2. …”
Get full text

Pseudo 4D projective coordinate-based multi-base scalar multiplication by Ming XU, Liang SHI

“…In order to address the problem of elliptic curve cryptosystem (ECC) for the expensive cost in scalar multiplication and the vulnerability to the power analysis attacks,a pseudo 4D projective coordinate-based multi-base scalar multiplication was proposed to optimize group operation layer and scalar multiplication operation layer,which aimed at increasing the performance of ECC and resisting common power analysis attacks.Experimental results show that compared with the state-of-the-art algorithms,the proposed algorithm decreases 5.71% of point doubling cost,3.17% of point tripling cost,and 8.74% of point quintupling cost under discrete group operations.When the key length is 160 bit,the proposed algorithm decreases 36.32% of point tripling cost,17.42% of point quintupling cost,and 8.70% of the system cost under continuous group operations.The analyzing of power consumption wave shows that the proposed algorithm can resist SPA and DPA attack.…”
Get full text