Best Known (78−56, 78, s)-Nets in Base 7
(78−56, 78, 29)-Net over F7 — Constructive and digital
Digital (22, 78, 29)-net over F7, using
- t-expansion [i] based on digital (21, 78, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(78−56, 78, 72)-Net over F7 — Digital
Digital (22, 78, 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
(78−56, 78, 407)-Net in Base 7 — Upper bound on s
There is no (22, 78, 408)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 842047 556202 790988 920158 395889 967523 435935 340516 173055 373894 992449 > 778 [i]