Best Known (24, 69, s)-Nets in Base 7
(24, 69, 30)-Net over F7 — Constructive and digital
Digital (24, 69, 30)-net over F7, using
- t-expansion [i] based on digital (23, 69, 30)-net over F7, using
- net from sequence [i] based on digital (23, 29)-sequence over F7, using
(24, 69, 72)-Net over F7 — Digital
Digital (24, 69, 72)-net over F7, using
- t-expansion [i] based on digital (22, 69, 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
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
(24, 69, 603)-Net in Base 7 — Upper bound on s
There is no (24, 69, 604)-net in base 7, because
- 1 times m-reduction [i] would yield (24, 68, 604)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 2959 871920 408097 946574 546857 299070 448428 606357 970073 448649 > 768 [i]