Best Known (21, 21+33, s)-Nets in Base 7
(21, 21+33, 29)-Net over F7 — Constructive and digital
Digital (21, 54, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(21, 21+33, 64)-Net over F7 — Digital
Digital (21, 54, 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+33, 704)-Net in Base 7 — Upper bound on s
There is no (21, 54, 705)-net in base 7, because
- 1 times m-reduction [i] would yield (21, 53, 705)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 630 751021 940098 729118 338653 404170 054099 688833 > 753 [i]