  Despite possessing the low-discrepancy property, the classical d dimensional
Halton sequence is known to exhibit poorly distributed projections when d
becomes even moderately large. This, in turn, often implies bad performance
when implemented in quasi-Monte Carlo (QMC) methods in comparison to, for
example, the Sobol' sequence. As an attempt to eradicate this issue, we propose
an adapted Halton sequence built by integer and irrational based van der Corput
sequences and show empirically improved performance with respect to the
accuracy of estimates in numerical integration and simulation. In addition, for
the first time, a scrambling algorithm is proposed for irrational based digital
sequences.
