Best Known (56−38, 56, s)-Nets in Base 9
(56−38, 56, 74)-Net over F9 — Constructive and digital
Digital (18, 56, 74)-net over F9, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(56−38, 56, 632)-Net in Base 9 — Upper bound on s
There is no (18, 56, 633)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 279562 680586 566429 666308 705014 613119 922359 511249 621913 > 956 [i]