Best Known (96, 157, s)-Nets in Base 2
(96, 157, 66)-Net over F2 — Constructive and digital
Digital (96, 157, 66)-net over F2, using
- 5 times m-reduction [i] based on digital (96, 162, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 81, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 81, 33)-net over F4, using
(96, 157, 81)-Net over F2 — Digital
Digital (96, 157, 81)-net over F2, using
(96, 157, 400)-Net in Base 2 — Upper bound on s
There is no (96, 157, 401)-net in base 2, because
- 1 times m-reduction [i] would yield (96, 156, 401)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 96629 878305 799600 251055 118284 016461 534202 360256 > 2156 [i]