Best Known (13, 32, s)-Nets in Base 8
(13, 32, 48)-Net over F8 — Constructive and digital
Digital (13, 32, 48)-net over F8, using
- t-expansion [i] based on digital (11, 32, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
(13, 32, 49)-Net in Base 8 — Constructive
(13, 32, 49)-net in base 8, using
- base change [i] based on digital (5, 24, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
(13, 32, 56)-Net over F8 — Digital
Digital (13, 32, 56)-net over F8, using
- net from sequence [i] based on digital (13, 55)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 13 and N(F) ≥ 56, using
(13, 32, 759)-Net in Base 8 — Upper bound on s
There is no (13, 32, 760)-net in base 8, because
- 1 times m-reduction [i] would yield (13, 31, 760)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 10010 838691 835043 189728 321750 > 831 [i]