Best Known (82−61, 82, s)-Nets in Base 7
(82−61, 82, 29)-Net over F7 — Constructive and digital
Digital (21, 82, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(82−61, 82, 64)-Net over F7 — Digital
Digital (21, 82, 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
(82−61, 82, 364)-Net in Base 7 — Upper bound on s
There is no (21, 82, 365)-net in base 7, because
- 1 times m-reduction [i] would yield (21, 81, 365)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 286 570050 934612 549601 182549 725122 321646 479341 557023 750972 090534 622889 > 781 [i]