// Shift nets due to Schmid or Schmid and SchŸrer: // Wolfgang Ch. Schmid. Shift-nets: a new class of binary digital (t, m, s)-nets. In Harald Niederreiter, Peter Hellekalek, Gerhard Larcher, and Peter Zinterhof, editors, Monte Carlo and Quasi-Monte Carlo Methods 1996, volume 127 of Lecture Notes in Statistics, pages 369Ð381. Springer-Verlag, 1998. // Wolfgang Ch. Schmid and Rudolf SchŸrer. Shift-nets and Salzburg tables: Power computing in number-theoretical numerics. In Helmut Efinger and Andreas Uhl, editors, Scientific Computing in Salzburg--Festschrift on the Occasion of Peter Zinterhofs 60th Birthday, volume 189 of books@ocg.at, pages 175Ð184. Oesterreichische Computer Gesellschaft, 2005. // base 4 nets transformed so that they can be used as if they were DigitalNetBase2 // so we have the double numbers of columns and rows as in the GF(4) matrix // Note, the strength remains the GF(4) strength k, but there are many projections have strength in the range k to 2k // check if everything that involves GF(4) multiplication (e.g. scrambling) gives the desired result 2 // b (base) 16 // numCols 16 // numRows // outDigits= numRows 65536 // numPoints (=b^{numCols}) 8 // dim // 7 // Stregth, see comment above // in class DigitalNetBase2 // genMat[i] should be the i-th number below // 1 536870912 1073741824 523239424 198705152 237502464 307232768 220200960 398458880 276824064 419430400 209715200 385875968 134348800 268697600 33587200 67174400 // 2 33587200 67174400 536870912 1073741824 523239424 198705152 237502464 307232768 220200960 398458880 276824064 419430400 209715200 385875968 134348800 268697600 // 3 134348800 268697600 33587200 67174400 536870912 1073741824 523239424 198705152 237502464 307232768 220200960 398458880 276824064 419430400 209715200 385875968 // 4 209715200 385875968 134348800 268697600 33587200 67174400 536870912 1073741824 523239424 198705152 237502464 307232768 220200960 398458880 276824064 419430400 // 5 276824064 419430400 209715200 385875968 134348800 268697600 33587200 67174400 536870912 1073741824 523239424 198705152 237502464 307232768 220200960 398458880 // 6 220200960 398458880 276824064 419430400 209715200 385875968 134348800 268697600 33587200 67174400 536870912 1073741824 523239424 198705152 237502464 307232768 // 7 237502464 307232768 220200960 398458880 276824064 419430400 209715200 385875968 134348800 268697600 33587200 67174400 536870912 1073741824 523239424 198705152 // 8 523239424 198705152 237502464 307232768 220200960 398458880 276824064 419430400 209715200 385875968 134348800 268697600 33587200 67174400 536870912 1073741824 // end of file