Best Known (70, 70+66, s)-Nets in Base 8
(70, 70+66, 160)-Net over F8 — Constructive and digital
Digital (70, 136, 160)-net over F8, using
- 2 times m-reduction [i] based on digital (70, 138, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 69, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 69, 80)-net over F64, using
(70, 70+66, 254)-Net over F8 — Digital
Digital (70, 136, 254)-net over F8, using
(70, 70+66, 9889)-Net in Base 8 — Upper bound on s
There is no (70, 136, 9890)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 662 207369 206975 718888 026374 833061 633110 203672 678274 674232 980426 113362 123174 066600 451940 555157 077786 339855 763775 052332 855251 > 8136 [i]