Best Known (53−46, 53, s)-Nets in Base 49
(53−46, 53, 57)-Net over F49 — Constructive and digital
Digital (7, 53, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(53−46, 53, 92)-Net over F49 — Digital
Digital (7, 53, 92)-net over F49, using
- t-expansion [i] based on digital (3, 53, 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
(53−46, 53, 1530)-Net in Base 49 — Upper bound on s
There is no (7, 53, 1531)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 384576 943793 193087 092780 076338 837520 442606 154187 228024 503106 133409 599615 804797 638126 148721 > 4953 [i]