Best Known (21, 21+59, s)-Nets in Base 7
(21, 21+59, 29)-Net over F7 — Constructive and digital
Digital (21, 80, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(21, 21+59, 64)-Net over F7 — Digital
Digital (21, 80, 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+59, 371)-Net in Base 7 — Upper bound on s
There is no (21, 80, 372)-net in base 7, because
- 1 times m-reduction [i] would yield (21, 79, 372)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 6 003307 201758 203128 411943 100192 563460 067517 325007 524025 507964 860633 > 779 [i]