Best Known (28, 78, s)-Nets in Base 128
(28, 78, 321)-Net over F128 — Constructive and digital
Digital (28, 78, 321)-net over F128, using
- (u, u+v)-construction [i] based on
- digital (0, 25, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- digital (3, 53, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- digital (0, 25, 129)-net over F128, using
(28, 78, 577)-Net over F128 — Digital
Digital (28, 78, 577)-net over F128, using
- net from sequence [i] based on digital (28, 576)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 28 and N(F) ≥ 577, using
(28, 78, 300815)-Net in Base 128 — Upper bound on s
There is no (28, 78, 300816)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 230 362008 244553 610696 967620 728778 274302 847021 385730 058565 779276 038568 496101 977310 486447 886222 971383 290090 572154 165686 248518 412754 513382 505511 200282 852869 455922 065552 > 12878 [i]