An Experimental Exploration of Marsaglia's xorshift Generators, Scrambled

Further scramblings of Marsaglia's xorshift generators

xorshift* generators are a variant of Marsaglia’s xorshift generators that eliminate linear artifacts typical of generators based on Z/2Z-linear operations using multiplication by a suitable constant. Shortly after high-dimensional xorshift* generators were introduced, Saito and Matsumoto suggested a different way to eliminate linear artifacts based on addition in Z/232Z, leading to the XSadd g...

Note on Marsaglia’s Xorshift Random Number Generators

Marsaglia (2003) has described a class of“xorshift”random number generators (RNGs) with periods 2 − 1 for n = 32, 64, etc. We show that the sequences generated by these RNGs are identical to the sequences generated by certain linear feedback shift register (LFSR) generators using “exclusive or” (xor) operations on n-bit words, with a recurrence defined by a primitive polynomial of degree n.

Xorshift random number generators from primitive polynomials

A class of xorshift random number generators (RNGs) are introduced by Marsaglia. We have proposed an algorithm which constructs a full period xorshift RNG from a given primitive polynomial. It is shown there is a weakness present in those RNGs and is suggested its improvement. A separate algorithm is also proposed which returns a full period xorshift generator with desired number of xorshift op...

Using Magma to find good xorshift random number generators

An Experimental Investigation of Enclosure’s Effect on Noise Reduction in Portable Generators (Technical Note)

The portable generators are the main means of compensating the shortage of national electricity power as in Iraq. However, their noise causes a huge disturbance, uncomforting and loss of concentration of the nearby resident. This problem requires a solution because most shops and residential houses use generators. Covering method is a simple and relatively low cost one for reduction of generato...