Best Known (23−14, 23, s)-Nets in Base 3
(23−14, 23, 19)-Net over F3 — Constructive and digital
Digital (9, 23, 19)-net over F3, using
- net from sequence [i] based on digital (9, 18)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
(23−14, 23, 56)-Net in Base 3 — Upper bound on s
There is no (9, 23, 57)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 102639 374955 > 323 [i]