Best Known (82−60, 82, s)-Nets in Base 7
(82−60, 82, 29)-Net over F7 — Constructive and digital
Digital (22, 82, 29)-net over F7, using
- t-expansion [i] based on digital (21, 82, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(82−60, 82, 72)-Net over F7 — Digital
Digital (22, 82, 72)-net over F7, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 22 and N(F) ≥ 72, using
(82−60, 82, 390)-Net in Base 7 — Upper bound on s
There is no (22, 82, 391)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 2046 523920 769535 493340 677910 096387 367505 337623 106079 015752 276842 215005 > 782 [i]