Best Known (54, 108, s)-Nets in Base 16
(54, 108, 514)-Net over F16 — Constructive and digital
Digital (54, 108, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 54, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
(54, 108, 47715)-Net in Base 16 — Upper bound on s
There is no (54, 108, 47716)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 11092 927721 572884 076007 765059 713824 776239 868805 359137 019631 405924 811101 110068 390300 265465 487591 160404 118265 176983 688975 616508 054956 > 16108 [i]