Best Known (28−23, 28, s)-Nets in Base 7
(28−23, 28, 13)-Net over F7 — Constructive and digital
Digital (5, 28, 13)-net over F7, using
- net from sequence [i] based on digital (5, 12)-sequence over F7, using
(28−23, 28, 24)-Net over F7 — Digital
Digital (5, 28, 24)-net over F7, using
- t-expansion [i] based on digital (4, 28, 24)-net over F7, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 4 and N(F) ≥ 24, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
(28−23, 28, 90)-Net in Base 7 — Upper bound on s
There is no (5, 28, 91)-net in base 7, because
- 1 times m-reduction [i] would yield (5, 27, 91)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 70180 858998 587034 048703 > 727 [i]