Best Known (28−24, 28, s)-Nets in Base 64
(28−24, 28, 104)-Net over F64 — Constructive and digital
Digital (4, 28, 104)-net over F64, using
- t-expansion [i] based on digital (3, 28, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
(28−24, 28, 129)-Net in Base 64 — Constructive
(4, 28, 129)-net in base 64, using
- base change [i] based on digital (0, 24, 129)-net over F128, using
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 0 and N(F) ≥ 129, using
- the rational function field F128(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 128)-sequence over F128, using
(28−24, 28, 129)-Net over F64 — Digital
Digital (4, 28, 129)-net over F64, using
- net from sequence [i] based on digital (4, 128)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 4 and N(F) ≥ 129, using
(28−24, 28, 1369)-Net in Base 64 — Upper bound on s
There is no (4, 28, 1370)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 374 954928 560900 647572 459783 964202 739006 190669 664380 > 6428 [i]