Best Known (29, 63, s)-Nets in Base 8
(29, 63, 69)-Net over F8 — Constructive and digital
Digital (29, 63, 69)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (3, 20, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- digital (9, 43, 45)-net over F8, using
- net from sequence [i] based on digital (9, 44)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- net from sequence [i] based on digital (9, 44)-sequence over F8, using
- digital (3, 20, 24)-net over F8, using
(29, 63, 97)-Net over F8 — Digital
Digital (29, 63, 97)-net over F8, using
- t-expansion [i] based on digital (28, 63, 97)-net over F8, using
- net from sequence [i] based on digital (28, 96)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 28 and N(F) ≥ 97, using
- net from sequence [i] based on digital (28, 96)-sequence over F8, using
(29, 63, 2267)-Net in Base 8 — Upper bound on s
There is no (29, 63, 2268)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 785 871817 553944 254879 693906 474246 973483 655740 341443 355775 > 863 [i]