Best Known (65, 65+56, s)-Nets in Base 8
(65, 65+56, 208)-Net over F8 — Constructive and digital
Digital (65, 121, 208)-net over F8, using
- 3 times m-reduction [i] based on digital (65, 124, 208)-net over F8, using
- trace code for nets [i] based on digital (3, 62, 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, 62, 104)-net over F64, using
(65, 65+56, 280)-Net over F8 — Digital
Digital (65, 121, 280)-net over F8, using
(65, 65+56, 12881)-Net in Base 8 — Upper bound on s
There is no (65, 121, 12882)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 18 820794 796043 107383 766436 892187 738498 448837 694466 522656 623776 032795 145120 039853 382227 008805 896766 889387 671408 > 8121 [i]