Best Known (7, 7+30, s)-Nets in Base 49
(7, 7+30, 57)-Net over F49 — Constructive and digital
Digital (7, 37, 57)-net over F49, using
- net from sequence [i] based on digital (7, 56)-sequence over F49, using
(7, 7+30, 92)-Net over F49 — Digital
Digital (7, 37, 92)-net over F49, using
- t-expansion [i] based on digital (3, 37, 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
(7, 7+30, 1968)-Net in Base 49 — Upper bound on s
There is no (7, 37, 1969)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 346 684104 315861 802465 459599 583742 466516 000239 940769 802803 686097 > 4937 [i]