Best Known (9, 9+67, s)-Nets in Base 128
(9, 9+67, 288)-Net over F128 — Constructive and digital
Digital (9, 76, 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+67, 6361)-Net in Base 128 — Upper bound on s
There is no (9, 76, 6362)-net in base 128, because
- 1 times m-reduction [i] would yield (9, 75, 6362)-net in base 128, but
- the generalized Rao bound for nets shows that 128m ≥ 110 152034 031063 121652 373828 339201 413856 826999 636102 275454 380812 085012 208063 235956 144698 731524 147412 047752 014459 469288 836357 626992 025804 822494 007002 619369 470642 > 12875 [i]