Best Known (50−31, 50, s)-Nets in Base 7
(50−31, 50, 27)-Net over F7 — Constructive and digital
Digital (19, 50, 27)-net over F7, using
- net from sequence [i] based on digital (19, 26)-sequence over F7, using
(50−31, 50, 54)-Net over F7 — Digital
Digital (19, 50, 54)-net over F7, using
- net from sequence [i] based on digital (19, 53)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 19 and N(F) ≥ 54, using
(50−31, 50, 607)-Net in Base 7 — Upper bound on s
There is no (19, 50, 608)-net in base 7, because
- 1 times m-reduction [i] would yield (19, 49, 608)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 259907 297820 964615 809959 382509 757344 665345 > 749 [i]