Best Known (115, 115+38, s)-Nets in Base 2
(115, 115+38, 144)-Net over F2 — Constructive and digital
Digital (115, 153, 144)-net over F2, using
- 3 times m-reduction [i] based on digital (115, 156, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 52, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- trace code for nets [i] based on digital (11, 52, 48)-net over F8, using
(115, 115+38, 229)-Net over F2 — Digital
Digital (115, 153, 229)-net over F2, using
(115, 115+38, 2077)-Net in Base 2 — Upper bound on s
There is no (115, 153, 2078)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 11480 350725 324215 958874 795268 605541 525297 632482 > 2153 [i]