Best Known (156−98, 156, s)-Nets in Base 8
(156−98, 156, 98)-Net over F8 — Constructive and digital
Digital (58, 156, 98)-net over F8, using
- t-expansion [i] based on digital (37, 156, 98)-net over F8, using
- net from sequence [i] based on digital (37, 97)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- net from sequence [i] based on digital (37, 97)-sequence over F8, using
(156−98, 156, 144)-Net over F8 — Digital
Digital (58, 156, 144)-net over F8, using
- t-expansion [i] based on digital (45, 156, 144)-net over F8, using
- net from sequence [i] based on digital (45, 143)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- net from sequence [i] based on digital (45, 143)-sequence over F8, using
(156−98, 156, 2017)-Net in Base 8 — Upper bound on s
There is no (58, 156, 2018)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 775 861642 497616 784186 340599 191040 423981 556767 288157 514765 255210 584727 005908 922623 293135 449412 911261 476491 148571 692458 554877 182562 386123 861036 > 8156 [i]