Best Known (21, 21+51, s)-Nets in Base 7
(21, 21+51, 29)-Net over F7 — Constructive and digital
Digital (21, 72, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(21, 21+51, 64)-Net over F7 — Digital
Digital (21, 72, 64)-net over F7, using
- net from sequence [i] based on digital (21, 63)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 21 and N(F) ≥ 64, using
(21, 21+51, 410)-Net in Base 7 — Upper bound on s
There is no (21, 72, 411)-net in base 7, because
- 1 times m-reduction [i] would yield (21, 71, 411)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1 054699 047154 224822 641148 361795 067346 071750 928435 761359 472083 > 771 [i]