Best Known (52, 52+38, s)-Nets in Base 9
(52, 52+38, 344)-Net over F9 — Constructive and digital
Digital (52, 90, 344)-net over F9, using
- trace code for nets [i] based on digital (7, 45, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(52, 52+38, 390)-Net over F9 — Digital
Digital (52, 90, 390)-net over F9, using
(52, 52+38, 32814)-Net in Base 9 — Upper bound on s
There is no (52, 90, 32815)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 76 181660 638136 728694 101724 095441 082671 341435 907719 239520 800555 431545 732688 514522 474985 > 990 [i]