Best Known (120−60, 120, s)-Nets in Base 8
(120−60, 120, 130)-Net over F8 — Constructive and digital
Digital (60, 120, 130)-net over F8, using
- trace code for nets [i] based on digital (0, 60, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
(120−60, 120, 202)-Net over F8 — Digital
Digital (60, 120, 202)-net over F8, using
(120−60, 120, 7028)-Net in Base 8 — Upper bound on s
There is no (60, 120, 7029)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 2 348731 830492 612989 581073 221633 765358 495716 212637 173244 318437 618919 167535 260239 227573 247872 638463 841986 458640 > 8120 [i]