Best Known (104, 135, s)-Nets in Base 2
(104, 135, 195)-Net over F2 — Constructive and digital
Digital (104, 135, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 45, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(104, 135, 255)-Net over F2 — Digital
Digital (104, 135, 255)-net over F2, using
(104, 135, 3118)-Net in Base 2 — Upper bound on s
There is no (104, 135, 3119)-net in base 2, because
- 1 times m-reduction [i] would yield (104, 134, 3119)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 21846 163264 863059 664615 680879 803094 948598 > 2134 [i]