Sequence generators obtained by linear recursions over the two-element field F2, i.e., F2-linear generators, are widely used as pseudorandom number generators. For example, the Mersenne Twisterâ€¦ (More)

Sequences generated by an F2-linear recursion have wide applications, in particular, pseudorandom number generation. The dimension of equidistribution with v-bit accuracy is a most importantâ€¦ (More)

CPUs and operating systems are moving from 32 to 64 bits, and hence it is important to have good pseudorandom number generators designed to fully exploit these word lengths. However, existing 64-bitâ€¦ (More)

CPUs and operating systems are moving from 32 to 64 bits, and hence it is important to have good pseudorandom number generators designed to fully exploit these word lengths. However, existing 64-bitâ€¦ (More)

The t-value of a (t,m, s)-net is an important criterion of point sets for quasiMonte Carlo integration, and many point sets are constructed in terms of tvalues, as this leads to small integrationâ€¦ (More)

The 32-bit Mersenne Twister generator MT19937 is a widely used random number generator. To generate numbers with more than 32 bits in bit length, and particularly when converting into 53-bitâ€¦ (More)