Best Known (26−14, 26, s)-Nets in Base 4
(26−14, 26, 28)-Net over F4 — Constructive and digital
Digital (12, 26, 28)-net over F4, using
- net from sequence [i] based on digital (12, 27)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 12 and N(F) ≥ 28, using
(26−14, 26, 29)-Net over F4 — Digital
Digital (12, 26, 29)-net over F4, using
- net from sequence [i] based on digital (12, 28)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 12 and N(F) ≥ 29, using
(26−14, 26, 188)-Net in Base 4 — Upper bound on s
There is no (12, 26, 189)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 4532 597589 942280 > 426 [i]