Best Known (31−22, 31, s)-Nets in Base 7
(31−22, 31, 17)-Net over F7 — Constructive and digital
Digital (9, 31, 17)-net over F7, using
- net from sequence [i] based on digital (9, 16)-sequence over F7, using
(31−22, 31, 38)-Net over F7 — Digital
Digital (9, 31, 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
(31−22, 31, 190)-Net in Base 7 — Upper bound on s
There is no (9, 31, 191)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 164 403506 275163 039610 275263 > 731 [i]