Best Known (11, 50, s)-Nets in Base 49
(11, 50, 61)-Net over F49 — Constructive and digital
Digital (11, 50, 61)-net over F49, using
- net from sequence [i] based on digital (11, 60)-sequence over F49, using
(11, 50, 92)-Net over F49 — Digital
Digital (11, 50, 92)-net over F49, using
- t-expansion [i] based on digital (3, 50, 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
(11, 50, 3765)-Net in Base 49 — Upper bound on s
There is no (11, 50, 3766)-net in base 49, because
- 1 times m-reduction [i] would yield (11, 49, 3766)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 66185 896315 455957 443244 689329 110091 381570 387904 575697 704005 531240 575644 359520 423777 > 4949 [i]