Best Known (47−35, 47, s)-Nets in Base 49
(47−35, 47, 62)-Net over F49 — Constructive and digital
Digital (12, 47, 62)-net over F49, using
- net from sequence [i] based on digital (12, 61)-sequence over F49, using
(47−35, 47, 92)-Net over F49 — Digital
Digital (12, 47, 92)-net over F49, using
- t-expansion [i] based on digital (3, 47, 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
(47−35, 47, 5591)-Net in Base 49 — Upper bound on s
There is no (12, 47, 5592)-net in base 49, because
- 1 times m-reduction [i] would yield (12, 46, 5592)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 561943 161857 959847 407465 765868 392970 634476 125115 622224 255694 711734 736108 322945 > 4946 [i]