Best Known (18, 18+56, s)-Nets in Base 9
(18, 18+56, 74)-Net over F9 — Constructive and digital
Digital (18, 74, 74)-net over F9, using
- t-expansion [i] based on digital (17, 74, 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
(18, 18+56, 452)-Net in Base 9 — Upper bound on s
There is no (18, 74, 453)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 41348 468581 281932 619494 954748 567580 609884 808722 811674 791563 735719 906785 > 974 [i]