Best Known (94, 94+38, s)-Nets in Base 8
(94, 94+38, 1026)-Net over F8 — Constructive and digital
Digital (94, 132, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 66, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(94, 94+38, 3507)-Net over F8 — Digital
Digital (94, 132, 3507)-net over F8, using
(94, 94+38, 2129187)-Net in Base 8 — Upper bound on s
There is no (94, 132, 2129188)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 161391 152985 852487 366019 130891 515640 448214 034016 974244 724118 724143 537150 133237 374231 004719 048400 040422 650267 526461 691034 > 8132 [i]