Best Known (9, 72, s)-Nets in Base 32
(9, 72, 104)-Net over F32 — Constructive and digital
Digital (9, 72, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
(9, 72, 108)-Net over F32 — Digital
Digital (9, 72, 108)-net over F32, using
- net from sequence [i] based on digital (9, 107)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 108, using
(9, 72, 1105)-Net in Base 32 — Upper bound on s
There is no (9, 72, 1106)-net in base 32, because
- 1 times m-reduction [i] would yield (9, 71, 1106)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 73515 242131 954631 718503 848301 708133 705477 103825 429459 155008 756001 518093 956486 044014 521695 317312 765735 717856 > 3271 [i]