For all these computations, we consider a numerous time steps N equal to 50.
Keeping everything else constant, higher clock frequency leads to faster computing speed and thus decreased runtime for all computation-bounded programs [ 36].
Full chemistry and effective binary diffusion coefficients are employed for all computations.
In this work, we have used the state-of-the-art quantum code CASTEP for all computations.
A personal computer with Inte l(R) Core (TM) i3-2120 CPU 3.3 GHz and 4.0 GB RAM has been employed for all computations.
In the proposed new scheme, use is made of wave reflection and transmission matrices, making it possible for all computations to proceed in the direction of wave propagation so that the results are always stable numerically.
Our experiments ran on an Intel Xeon X3480 at 3.07 GHz with 16 GB memory, and we used our own software library using inline assembly language x86_64 in C programs for all computations in the base ring (R_{q} = mathbb {F}_{q}[!x]/(x^{n} + 1)) of ciphertext space.
We set σ=1 for all computations in this paper.
For all computations, we used SAS 9.3 (SAS, Cary, NC).
SAS V9.3 (SAS Institute, Cary, NC) was used for all computations.
The 0.5 is a starting value for all computations.
