Best Known (108, 108+78, s)-Nets in Base 2
(108, 108+78, 66)-Net over F2 — Constructive and digital
Digital (108, 186, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 93, 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
(108, 108+78, 78)-Net over F2 — Digital
Digital (108, 186, 78)-net over F2, using
(108, 108+78, 365)-Net in Base 2 — Upper bound on s
There is no (108, 186, 366)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 105 014887 677788 677155 148180 852055 316481 444044 226852 051104 > 2186 [i]