Best Known (17, 17+53, s)-Nets in Base 9
(17, 17+53, 74)-Net over F9 — Constructive and digital
Digital (17, 70, 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
(17, 17+53, 433)-Net in Base 9 — Upper bound on s
There is no (17, 70, 434)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 69, 434)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 704535 133519 334453 425269 735241 618444 278571 407255 901134 815537 289825 > 969 [i]