Best Known (108−29, 108, s)-Nets in Base 2
(108−29, 108, 102)-Net over F2 — Constructive and digital
Digital (79, 108, 102)-net over F2, using
- trace code for nets [i] based on digital (7, 36, 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
(108−29, 108, 144)-Net over F2 — Digital
Digital (79, 108, 144)-net over F2, using
(108−29, 108, 1187)-Net in Base 2 — Upper bound on s
There is no (79, 108, 1188)-net in base 2, because
- 1 times m-reduction [i] would yield (79, 107, 1188)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 162 278340 622952 627719 710244 464712 > 2107 [i]