Best Known (99, 159, s)-Nets in Base 2
(99, 159, 66)-Net over F2 — Constructive and digital
Digital (99, 159, 66)-net over F2, using
- 9 times m-reduction [i] based on digital (99, 168, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 84, 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, 84, 33)-net over F4, using
(99, 159, 87)-Net over F2 — Digital
Digital (99, 159, 87)-net over F2, using
(99, 159, 431)-Net in Base 2 — Upper bound on s
There is no (99, 159, 432)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 738867 218401 862590 959932 558553 908693 533727 618462 > 2159 [i]