Best Known (117−32, 117, s)-Nets in Base 2
(117−32, 117, 102)-Net over F2 — Constructive and digital
Digital (85, 117, 102)-net over F2, using
- trace code for nets [i] based on digital (7, 39, 34)-net over F8, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
(117−32, 117, 146)-Net over F2 — Digital
Digital (85, 117, 146)-net over F2, using
(117−32, 117, 1057)-Net in Base 2 — Upper bound on s
There is no (85, 117, 1058)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 166852 791241 396138 987565 809240 363110 > 2117 [i]