In this paper, a new algorithm to solve the discrete logarithm problem is presented which is similar to the usual baby-step giant-step algorithm. Our algorithm exploits the order of the discrete logarithm in the multiplicative group of a finite field. Using randomization with parallelized collision search, our algorithm indicates some weakness in NIST curves over prime fields which are consider...

We study the giant magnon solutions in the near horizon geometry of the Neveu-Schwarz (NS) 5-brane background. In conformal gauge, we find magnon dispersion relation in the large angular momentum (J) limit. We further show that the giant magnon poses uniform distribution of the angular momentum along the string world-sheet as in case of AdS5 × S5 spacetime.

Modeling Microdomain Evolution on Giant Unilamellar Vesicles using a Phase-Field Approach by Anand Embar Department of Civil and Environmental Engineering Duke University

Despite common belief, Baby Boomers form a sizable population of gamers. Paying attention to how this generation experiences a game can help companies that target this group of users increase their market share. To address this need, this study examines Baby Boomers’ reaction to a new way of manipulating objects in a game, namely with their eyes. In particular, the study focuses on testing the ...

We analyze the energy and angular momenta of the two-spin spiky string moving on the AdS3×S with NS-NS field. Due to the infinite boundary of the AdS spacetime the solution will extend to infinity and it appears the divergences. After adding the counter terms we then obtain the dispersion relation of the corresponding giant magnon and see how the background field produces the correction terms. ...

In this paper static and dynamic responses of a fixed-fixed microbeam to electrostatic force and mechanical shock for different cases have been studied. The governing equations whose solution holds the answer to all our questions about the mechanical behavior is the nonlinear elasto-electrostatic equations. Due to the nonlinearity and complexity of the derived equations analytical solution are ...

In [BKT11] Baba, Kotyada and Teja introduced the FACTOR problem over non-abelian groups as base of an ElGamal-like cryptosystem. They conjectured that there is no better method than the naive one to solve the FACTOR problem in a general group. Shortly afterwards Stanek published an extension of the baby-step giant-step algorithm disproving this conjecture [Sta11]. Since baby-step giant-step met...