Best Known (24, 24+14, s)-Nets in Base 3
(24, 24+14, 64)-Net over F3 — Constructive and digital
Digital (24, 38, 64)-net over F3, using
- trace code for nets [i] based on digital (5, 19, 32)-net over F9, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
(24, 24+14, 70)-Net over F3 — Digital
Digital (24, 38, 70)-net over F3, using
(24, 24+14, 651)-Net in Base 3 — Upper bound on s
There is no (24, 38, 652)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1 363157 360959 491153 > 338 [i]