Best Known (39−33, 39, s)-Nets in Base 49
(39−33, 39, 56)-Net over F49 — Constructive and digital
Digital (6, 39, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(39−33, 39, 92)-Net over F49 — Digital
Digital (6, 39, 92)-net over F49, using
- t-expansion [i] based on digital (3, 39, 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
(39−33, 39, 1456)-Net in Base 49 — Upper bound on s
There is no (6, 39, 1457)-net in base 49, because
- 1 times m-reduction [i] would yield (6, 38, 1457)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 17053 321672 325274 458630 195141 149547 028664 972415 825786 842833 488641 > 4938 [i]