Best Known (6, 15, s)-Nets in Base 9
(6, 15, 34)-Net over F9 — Constructive and digital
Digital (6, 15, 34)-net over F9, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
(6, 15, 35)-Net over F9 — Digital
Digital (6, 15, 35)-net over F9, using
- net from sequence [i] based on digital (6, 34)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 35, using
(6, 15, 38)-Net in Base 9 — Constructive
(6, 15, 38)-net in base 9, using
- base change [i] based on digital (1, 10, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
(6, 15, 603)-Net in Base 9 — Upper bound on s
There is no (6, 15, 604)-net in base 9, because
- 1 times m-reduction [i] would yield (6, 14, 604)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 23 016127 810689 > 914 [i]