Best Known (3, 23, s)-Nets in Base 128
(3, 23, 192)-Net over F128 — Constructive and digital
Digital (3, 23, 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
(3, 23, 257)-Net in Base 128 — Constructive
(3, 23, 257)-net in base 128, using
- 1 times m-reduction [i] based on (3, 24, 257)-net in base 128, using
- base change [i] based on digital (0, 21, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 21, 257)-net over F256, using
(3, 23, 2500)-Net in Base 128 — Upper bound on s
There is no (3, 23, 2501)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 2 933267 229618 319754 733996 861145 300646 601527 573424 > 12823 [i]