Best Known (9, 32, s)-Nets in Base 49
(9, 32, 59)-Net over F49 — Constructive and digital
Digital (9, 32, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(9, 32, 92)-Net over F49 — Digital
Digital (9, 32, 92)-net over F49, using
- t-expansion [i] based on digital (3, 32, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
(9, 32, 5924)-Net in Base 49 — Upper bound on s
There is no (9, 32, 5925)-net in base 49, because
- 1 times m-reduction [i] would yield (9, 31, 5925)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 24904 813645 072375 861896 169312 833204 647043 616465 542481 > 4931 [i]