Best Known (64, 112, s)-Nets in Base 8
(64, 112, 354)-Net over F8 — Constructive and digital
Digital (64, 112, 354)-net over F8, using
- 2 times m-reduction [i] based on digital (64, 114, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 57, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 57, 177)-net over F64, using
(64, 112, 366)-Net over F8 — Digital
Digital (64, 112, 366)-net over F8, using
(64, 112, 22929)-Net in Base 8 — Upper bound on s
There is no (64, 112, 22930)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 139999 654987 569614 033411 913581 602015 271815 978827 849669 538895 451347 757812 929668 637162 916221 481550 066736 > 8112 [i]