Best Known (150−62, 150, s)-Nets in Base 9
(150−62, 150, 448)-Net over F9 — Constructive and digital
Digital (88, 150, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 75, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(150−62, 150, 649)-Net over F9 — Digital
Digital (88, 150, 649)-net over F9, using
(150−62, 150, 64286)-Net in Base 9 — Upper bound on s
There is no (88, 150, 64287)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 136942 324804 811836 746945 348994 444435 815677 997115 664916 685070 488511 490254 788317 725952 446995 257862 125684 255881 832024 402700 698952 331066 459612 381705 > 9150 [i]