Best Known (46−24, 46, s)-Nets in Base 9
(46−24, 46, 78)-Net over F9 — Constructive and digital
Digital (22, 46, 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
(46−24, 46, 93)-Net over F9 — Digital
Digital (22, 46, 93)-net over F9, using
(46−24, 46, 3000)-Net in Base 9 — Upper bound on s
There is no (22, 46, 3001)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 78 716919 927772 077419 426692 929806 868566 259681 > 946 [i]