Best Known (39, 149, s)-Nets in Base 9
(39, 149, 81)-Net over F9 — Constructive and digital
Digital (39, 149, 81)-net over F9, using
- t-expansion [i] based on digital (32, 149, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(39, 149, 140)-Net over F9 — Digital
Digital (39, 149, 140)-net over F9, using
- net from sequence [i] based on digital (39, 139)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 39 and N(F) ≥ 140, using
(39, 149, 992)-Net in Base 9 — Upper bound on s
There is no (39, 149, 993)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 15568 480626 292851 259706 589912 605649 169728 948648 183059 789160 839375 561651 248959 654994 504592 150508 061409 826016 077295 264612 969985 728834 015862 917113 > 9149 [i]