Best Known (150−88, 150, s)-Nets in Base 9
(150−88, 150, 96)-Net over F9 — Constructive and digital
Digital (62, 150, 96)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (5, 49, 32)-net over F9, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- digital (13, 101, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- digital (5, 49, 32)-net over F9, using
(150−88, 150, 192)-Net over F9 — Digital
Digital (62, 150, 192)-net over F9, using
- t-expansion [i] based on digital (61, 150, 192)-net over F9, using
- net from sequence [i] based on digital (61, 191)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 61 and N(F) ≥ 192, using
- net from sequence [i] based on digital (61, 191)-sequence over F9, using
(150−88, 150, 3836)-Net in Base 9 — Upper bound on s
There is no (62, 150, 3837)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 138267 646706 562817 210797 528210 766669 830186 739943 564031 973183 471469 303101 737945 248426 949234 185282 367318 763165 820810 497213 561712 901068 926418 102625 > 9150 [i]