Best Known (43, 122, s)-Nets in Base 9
(43, 122, 81)-Net over F9 — Constructive and digital
Digital (43, 122, 81)-net over F9, using
- t-expansion [i] based on digital (32, 122, 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
(43, 122, 147)-Net over F9 — Digital
Digital (43, 122, 147)-net over F9, using
- net from sequence [i] based on digital (43, 146)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 43 and N(F) ≥ 147, using
(43, 122, 1733)-Net in Base 9 — Upper bound on s
There is no (43, 122, 1734)-net in base 9, because
- 1 times m-reduction [i] would yield (43, 121, 1734)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 29 143559 758093 463725 269356 865892 887025 521167 395116 406235 475824 072393 870966 003377 699598 025909 901648 238331 246286 519185 > 9121 [i]