Best Known (114−24, 114, s)-Nets in Base 2
(114−24, 114, 195)-Net over F2 — Constructive and digital
Digital (90, 114, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 38, 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
(114−24, 114, 292)-Net over F2 — Digital
Digital (90, 114, 292)-net over F2, using
(114−24, 114, 3812)-Net in Base 2 — Upper bound on s
There is no (90, 114, 3813)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 20829 543713 330682 763565 330357 464284 > 2114 [i]