Best Known (62, 88, s)-Nets in Base 2
(62, 88, 72)-Net over F2 — Constructive and digital
Digital (62, 88, 72)-net over F2, using
- 21 times duplication [i] based on digital (61, 87, 72)-net over F2, using
- trace code for nets [i] based on digital (3, 29, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- trace code for nets [i] based on digital (3, 29, 24)-net over F8, using
(62, 88, 98)-Net over F2 — Digital
Digital (62, 88, 98)-net over F2, using
(62, 88, 599)-Net in Base 2 — Upper bound on s
There is no (62, 88, 600)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 312 848886 690285 339520 409526 > 288 [i]