Best Known (116, 116+36, s)-Nets in Base 2
(116, 116+36, 195)-Net over F2 — Constructive and digital
Digital (116, 152, 195)-net over F2, using
- 1 times m-reduction [i] based on digital (116, 153, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 51, 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
- trace code for nets [i] based on digital (14, 51, 65)-net over F8, using
(116, 116+36, 257)-Net over F2 — Digital
Digital (116, 152, 257)-net over F2, using
(116, 116+36, 2604)-Net in Base 2 — Upper bound on s
There is no (116, 152, 2605)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 5714 275062 511290 052400 375806 960912 993368 915788 > 2152 [i]