Best Known (6, 6+16, s)-Nets in Base 7
(6, 6+16, 14)-Net over F7 — Constructive and digital
Digital (6, 22, 14)-net over F7, using
- net from sequence [i] based on digital (6, 13)-sequence over F7, using
(6, 6+16, 24)-Net over F7 — Digital
Digital (6, 22, 24)-net over F7, using
- t-expansion [i] based on digital (4, 22, 24)-net over F7, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 4 and N(F) ≥ 24, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
(6, 6+16, 127)-Net in Base 7 — Upper bound on s
There is no (6, 22, 128)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 4 023250 030528 696321 > 722 [i]