Best Known (1, 1+7, s)-Nets in Base 49
(1, 1+7, 51)-Net over F49 — Constructive and digital
Digital (1, 8, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
(1, 1+7, 64)-Net over F49 — Digital
Digital (1, 8, 64)-net over F49, using
- net from sequence [i] based on digital (1, 63)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 1 and N(F) ≥ 64, using
(1, 1+7, 331)-Net in Base 49 — Upper bound on s
There is no (1, 8, 332)-net in base 49, because
- 1 times m-reduction [i] would yield (1, 7, 332)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 680996 705473 > 497 [i]