Best Known (67, 127, s)-Nets in Base 8
(67, 127, 208)-Net over F8 — Constructive and digital
Digital (67, 127, 208)-net over F8, using
- 1 times m-reduction [i] based on digital (67, 128, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 64, 104)-net over F64, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- net from sequence [i] based on digital (3, 103)-sequence over F64, using
- trace code for nets [i] based on digital (3, 64, 104)-net over F64, using
(67, 127, 269)-Net over F8 — Digital
Digital (67, 127, 269)-net over F8, using
(67, 127, 11430)-Net in Base 8 — Upper bound on s
There is no (67, 127, 11431)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 4 933908 787680 691260 059468 833460 253041 745164 733343 706730 861760 444837 856800 213205 002107 139473 583510 684540 931362 381300 > 8127 [i]