Many low-cost platforms that support floating-point arithmetic, such as microcontrollers and field-programmable gate arrays, do not include fast hardware or software methods for calculating the square root and/or reciprocal root. Typically, functions are implemented using direct lookup tables polynomial approximations, with a subsequent application of Newton–Raphson method. Other, more complex ...

the square map is one of the functions used in cryptography. for instance, the square map is used in rabin encryption scheme, block cipher rc6 and stream cipher rabbit, in different forms. in this paper, we study statistical properties of the output of the square map as a vectorial boolean function. we obtain the joint probability distribution of arbitrary number of the upper and the lower bits...

Field Programmable Gate Arrays (FPGAs) are frequently used to accelerate signal and image processing algorithms due to their flexibility, relatively low cost, high performance and fast time to market. For those applications where the data has large dynamic range, floating-point arithmetic is desirable due to the inherent limitations of fixed-point arithmetic. Moreover, optimal reconfigurable ha...

For solving systems of linear algebraic equations with blockfivediagonal matrices arising in geoelectrics and diffusion problems, the parallel matrix square root method, conjugate gradient method with preconditioner, conjugate gradient method with regularization, and parallel matrix sweep algorithm are proposed and some of them are implemented numerically on multi-core CPU Intel. Investigation ...