Best Known (46−28, 46, s)-Nets in Base 9
(46−28, 46, 74)-Net over F9 — Constructive and digital
Digital (18, 46, 74)-net over F9, using
- t-expansion [i] based on digital (17, 46, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(46−28, 46, 1023)-Net in Base 9 — Upper bound on s
There is no (18, 46, 1024)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 78 654017 808294 505490 920563 764376 694528 360449 > 946 [i]