Best Known (17, 36, s)-Nets in Base 9
(17, 36, 74)-Net over F9 — Constructive and digital
Digital (17, 36, 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, 36, 76)-Net over F9 — Digital
Digital (17, 36, 76)-net over F9, using
(17, 36, 2659)-Net in Base 9 — Upper bound on s
There is no (17, 36, 2660)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 35, 2660)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 2508 998961 031326 377798 753492 678177 > 935 [i]