Best Known (29−20, 29, s)-Nets in Base 128
(29−20, 29, 288)-Net over F128 — Constructive and digital
Digital (9, 29, 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
(29−20, 29, 321)-Net in Base 128
(9, 29, 321)-net in base 128, using
- 27 times m-reduction [i] based on (9, 56, 321)-net in base 128, using
- base change [i] based on digital (2, 49, 321)-net over F256, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- net from sequence [i] based on digital (2, 320)-sequence over F256, using
- base change [i] based on digital (2, 49, 321)-net over F256, using
(29−20, 29, 46029)-Net in Base 128 — Upper bound on s
There is no (9, 29, 46030)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 12 856297 111796 870803 571361 809468 830233 056088 281388 692440 596014 > 12829 [i]