Best Known (58−41, 58, s)-Nets in Base 9
(58−41, 58, 74)-Net over F9 — Constructive and digital
Digital (17, 58, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
(58−41, 58, 532)-Net in Base 9 — Upper bound on s
There is no (17, 58, 533)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 57, 533)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 2 525503 365236 136807 341013 637219 546559 422237 947120 402849 > 957 [i]