Best Known (30, 78, s)-Nets in Base 64
(30, 78, 513)-Net over F64 — Constructive and digital
Digital (30, 78, 513)-net over F64, using
- t-expansion [i] based on digital (28, 78, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(30, 78, 115361)-Net in Base 64 — Upper bound on s
There is no (30, 78, 115362)-net in base 64, because
- the generalized Rao bound for nets shows that 64m ≥ 762 162427 009828 141969 085489 657648 674404 262593 856643 366934 322139 470771 100661 080826 710393 689815 913568 099630 077242 102216 341877 609882 004604 104204 > 6478 [i]