Best Known (38−29, 38, s)-Nets in Base 7
(38−29, 38, 17)-Net over F7 — Constructive and digital
Digital (9, 38, 17)-net over F7, using
- net from sequence [i] based on digital (9, 16)-sequence over F7, using
(38−29, 38, 38)-Net over F7 — Digital
Digital (9, 38, 38)-net over F7, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38, using
(38−29, 38, 163)-Net in Base 7 — Upper bound on s
There is no (9, 38, 164)-net in base 7, because
- 1 times m-reduction [i] would yield (9, 37, 164)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 18 851199 959117 341809 141006 740281 > 737 [i]