Best Known (56−39, 56, s)-Nets in Base 9
(56−39, 56, 74)-Net over F9 — Constructive and digital
Digital (17, 56, 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
(56−39, 56, 562)-Net in Base 9 — Upper bound on s
There is no (17, 56, 563)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 55, 563)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 31431 178502 805809 152569 019085 054288 488235 559707 009225 > 955 [i]