Best Known (120−64, 120, s)-Nets in Base 9
(120−64, 120, 110)-Net over F9 — Constructive and digital
Digital (56, 120, 110)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (7, 39, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- digital (17, 81, 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
- digital (7, 39, 36)-net over F9, using
(120−64, 120, 182)-Net over F9 — Digital
Digital (56, 120, 182)-net over F9, using
- t-expansion [i] based on digital (50, 120, 182)-net over F9, using
- net from sequence [i] based on digital (50, 181)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182, using
- net from sequence [i] based on digital (50, 181)-sequence over F9, using
(120−64, 120, 6036)-Net in Base 9 — Upper bound on s
There is no (56, 120, 6037)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 3 234151 835578 118380 869813 445039 354165 316896 603717 673028 612625 323498 651439 202019 818492 950682 860824 002357 843246 430465 > 9120 [i]