Best Known (141−74, 141, s)-Nets in Base 9
(141−74, 141, 165)-Net over F9 — Constructive and digital
Digital (67, 141, 165)-net over F9, using
- t-expansion [i] based on digital (64, 141, 165)-net over F9, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- T4 from the second tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- net from sequence [i] based on digital (64, 164)-sequence over F9, using
(141−74, 141, 214)-Net over F9 — Digital
Digital (67, 141, 214)-net over F9, using
(141−74, 141, 7907)-Net in Base 9 — Upper bound on s
There is no (67, 141, 7908)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 354 755014 716337 957078 060812 884346 045081 836980 343239 708963 966918 014163 714851 168925 012138 044132 514576 849536 490649 396512 329576 801060 901025 > 9141 [i]