Best Known (26, 150, s)-Nets in Base 9
(26, 150, 78)-Net over F9 — Constructive and digital
Digital (26, 150, 78)-net over F9, using
- t-expansion [i] based on digital (22, 150, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the 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) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
(26, 150, 110)-Net over F9 — Digital
Digital (26, 150, 110)-net over F9, using
- net from sequence [i] based on digital (26, 109)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 26 and N(F) ≥ 110, using
(26, 150, 571)-Net in Base 9 — Upper bound on s
There is no (26, 150, 572)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 146236 986414 492723 416081 190944 760472 010741 592881 704106 439020 393178 741956 547723 613248 242939 811650 992485 402490 154213 805097 410839 848749 898572 296385 > 9150 [i]