Best Known (36−22, 36, s)-Nets in Base 3
(36−22, 36, 24)-Net over F3 — Constructive and digital
Digital (14, 36, 24)-net over F3, using
- t-expansion [i] based on digital (13, 36, 24)-net over F3, using
- net from sequence [i] based on digital (13, 23)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- net from sequence [i] based on digital (13, 23)-sequence over F3, using
(36−22, 36, 79)-Net in Base 3 — Upper bound on s
There is no (14, 36, 80)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 161281 880841 420609 > 336 [i]