Best Known (6, 15, s)-Nets in Base 4
(6, 15, 18)-Net over F4 — Constructive and digital
Digital (6, 15, 18)-net over F4, using
- 3 times m-reduction [i] based on digital (6, 18, 18)-net over F4, using
(6, 15, 20)-Net over F4 — Digital
Digital (6, 15, 20)-net over F4, using
- net from sequence [i] based on digital (6, 19)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 6 and N(F) ≥ 20, using
(6, 15, 91)-Net in Base 4 — Upper bound on s
There is no (6, 15, 92)-net in base 4, because
- 1 times m-reduction [i] would yield (6, 14, 92)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 272 576014 > 414 [i]