Best Known (96, 136, s)-Nets in Base 8
(96, 136, 1026)-Net over F8 — Constructive and digital
Digital (96, 136, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 68, 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
(96, 136, 3121)-Net over F8 — Digital
Digital (96, 136, 3121)-net over F8, using
(96, 136, 1641409)-Net in Base 8 — Upper bound on s
There is no (96, 136, 1641410)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 661 063338 795538 457204 169955 721305 261429 437783 958596 454952 194981 212743 550155 557986 899151 161467 904391 553517 543775 272752 616912 > 8136 [i]