Best Known (92, 92+25, s)-Nets in Base 2
(92, 92+25, 195)-Net over F2 — Constructive and digital
Digital (92, 117, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 39, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(92, 92+25, 284)-Net over F2 — Digital
Digital (92, 117, 284)-net over F2, using
(92, 92+25, 4281)-Net in Base 2 — Upper bound on s
There is no (92, 117, 4282)-net in base 2, because
- 1 times m-reduction [i] would yield (92, 116, 4282)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 83298 976952 529339 397053 171663 541284 > 2116 [i]