1;3409;0c Walsh-Spectral Test for GFSR Pseudrorandom Numbers

Walsh-Spectral Test for GFSR Pseudrorandom Numbers

Communications of the ACM, vol. 30, no. 8, 1987
Pages: 731-735DOI: 10.1145/27651.27657



By applying Weyl's criterion for k-distributivity to GFSR sequences, we derive a new theoretical test for investigating the statistical property of GFSR sequences. This test provides a very useful measure for examining the k-distribution, that is, the statistical independence of the k-tuple of successive terms of GFSR sequences. In the latter half of this paper, we describe an efficient procedure for performing this test and furnish experimental results obtained from applying it to several GFSR generators with prime period lengths.