Best Known (9, 9+22, s)-Nets in Base 128
(9, 9+22, 288)-Net over F128 — Constructive and digital
Digital (9, 31, 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
(9, 9+22, 321)-Net in Base 128
(9, 31, 321)-net in base 128, using
- 25 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
(9, 9+22, 33546)-Net in Base 128 — Upper bound on s
There is no (9, 31, 33547)-net in base 128, because
- the generalized Rao bound for nets shows that 128m ≥ 210668 724650 861409 980997 032417 502882 100381 186164 224054 886690 614400 > 12831 [i]