Best Known (91−69, 91, s)-Nets in Base 7
(91−69, 91, 29)-Net over F7 — Constructive and digital
Digital (22, 91, 29)-net over F7, using
- t-expansion [i] based on digital (21, 91, 29)-net over F7, using
- net from sequence [i] based on digital (21, 28)-sequence over F7, using
(91−69, 91, 72)-Net over F7 — Digital
Digital (22, 91, 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
(91−69, 91, 367)-Net in Base 7 — Upper bound on s
There is no (22, 91, 368)-net in base 7, because
- 1 times m-reduction [i] would yield (22, 90, 368)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 11873 520722 276561 862846 396858 334698 999646 855500 034919 087991 427295 800253 761825 > 790 [i]