Best Known (18, 49, s)-Nets in Base 7
(18, 49, 26)-Net over F7 — Constructive and digital
Digital (18, 49, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(18, 49, 51)-Net over F7 — Digital
Digital (18, 49, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(18, 49, 532)-Net in Base 7 — Upper bound on s
There is no (18, 49, 533)-net in base 7, because
- 1 times m-reduction [i] would yield (18, 48, 533)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 37248 725431 270258 717002 361266 736097 866135 > 748 [i]