Best Known (76−68, 76, s)-Nets in Base 128
(76−68, 76, 216)-Net over F128 — Constructive and digital
Digital (8, 76, 216)-net over F128, using
- t-expansion [i] based on digital (5, 76, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
(76−68, 76, 276)-Net over F128 — Digital
Digital (8, 76, 276)-net over F128, using
- net from sequence [i] based on digital (8, 275)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 8 and N(F) ≥ 276, using
(76−68, 76, 5452)-Net in Base 128 — Upper bound on s
There is no (8, 76, 5453)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 14127 912849 260022 354553 457727 289373 616072 096835 300055 617937 156119 398997 422906 330044 365326 875874 824109 998609 944631 644570 702984 184347 906711 218513 120142 686294 640908 > 12876 [i]