Best Known (119−64, 119, s)-Nets in Base 16
(119−64, 119, 243)-Net over F16 — Constructive and digital
Digital (55, 119, 243)-net over F16, using
- t-expansion [i] based on digital (48, 119, 243)-net over F16, using
- net from sequence [i] based on digital (48, 242)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243, using
- net from sequence [i] based on digital (48, 242)-sequence over F16, using
(119−64, 119, 289)-Net over F16 — Digital
Digital (55, 119, 289)-net over F16, using
(119−64, 119, 25604)-Net in Base 16 — Upper bound on s
There is no (55, 119, 25605)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 195302 260713 717378 786019 448316 603295 165713 734796 076156 001507 774967 943366 441830 431374 393142 110572 272055 847209 578931 279596 213929 785445 656494 903776 > 16119 [i]