Best Known (142−64, 142, s)-Nets in Base 8
(142−64, 142, 354)-Net over F8 — Constructive and digital
Digital (78, 142, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 71, 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
(142−64, 142, 358)-Net over F8 — Digital
Digital (78, 142, 358)-net over F8, using
(142−64, 142, 18568)-Net in Base 8 — Upper bound on s
There is no (78, 142, 18569)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 173 462995 904400 254722 906653 792127 952018 003522 514510 252791 679556 966458 397002 926719 058156 627487 401680 391109 979317 985263 346255 513196 > 8142 [i]