Best Known (91−70, 91, s)-Nets in Base 9
(91−70, 91, 74)-Net over F9 — Constructive and digital
Digital (21, 91, 74)-net over F9, using
- t-expansion [i] based on digital (17, 91, 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
(91−70, 91, 88)-Net over F9 — Digital
Digital (21, 91, 88)-net over F9, using
- net from sequence [i] based on digital (21, 87)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 21 and N(F) ≥ 88, using
(91−70, 91, 505)-Net in Base 9 — Upper bound on s
There is no (21, 91, 506)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 725 856088 588384 220904 612716 325382 122177 347167 132681 830966 105010 172007 563863 422830 082225 > 991 [i]