called unit initialisation. However, such a sequence fails the test for Property A and A’ even for low dimensions and hence this initialisation is bad. Implementation and availability Good initialisation numbers for different numbers of dimensions are provided by several authors. For example, Sobol’ provides initialisation numbers for dimensions up to 51. The same set of initialisation numbers is used by Bratley and Fox. Initialisation numbers for high dimensions are available on Joe and Kuo. Peter Jäckel provides initialisation numbers up to dimension 32 in his book "Monte Carlo methods in finance". Other implementations are available as C, Fortran 77, or Fortran 90 routines in the Numerical Recipes collection of software. A free/open-source implementation in up to 1111 dimensions, based on the Joe and Kuo initialisation numbers, is available in C, and up to 21201 dimensions in Python and Julia. A different free/open-source implementation in up to 1111 dimensions is available for C++, Fortran 90, Matlab, and Python. Finally, commercial Sobol’ sequence generators are available within, for example, the NAG Library. A version is available from the British-Russian Offshore Development Agency (BRODA). MATLAB also contains an implementation as part of its Statistics Toolbox. See also Low-discrepancy sequences Quasi-Monte Carlo method Notes References External links Collected Algorithms of the ACM (See algorithms 647, 659, and 738.) Collection of Sobol’ sequences generator programming codes Freeware C++ generator of Sobol’ sequence Low-discrepancy sequences Sequences and series