Best Known (74−50, 74, s)-Nets in Base 128
(74−50, 74, 288)-Net over F128 — Constructive and digital
Digital (24, 74, 288)-net over F128, using
- t-expansion [i] based on digital (9, 74, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
(74−50, 74, 513)-Net over F128 — Digital
Digital (24, 74, 513)-net over F128, using
- net from sequence [i] based on digital (24, 512)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 24 and N(F) ≥ 513, using
(74−50, 74, 138396)-Net in Base 128 — Upper bound on s
There is no (24, 74, 138397)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 858165 484343 526909 235365 757495 689727 573133 935466 642427 607911 386961 180355 440223 721829 886838 078075 257939 225836 639114 504926 503369 496628 545930 926141 590477 151828 > 12874 [i]