Best Known (5, 47, s)-Nets in Base 49
(5, 47, 55)-Net over F49 — Constructive and digital
Digital (5, 47, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(5, 47, 92)-Net over F49 — Digital
Digital (5, 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
(5, 47, 1086)-Net in Base 49 — Upper bound on s
There is no (5, 47, 1087)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 27 894934 016981 861647 865606 389040 360624 034397 443734 804847 940049 511703 522137 896977 > 4947 [i]