Best Known (144, 187, s)-Nets in Base 2
(144, 187, 195)-Net over F2 — Constructive and digital
Digital (144, 187, 195)-net over F2, using
- 8 times m-reduction [i] based on digital (144, 195, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 65, 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
- trace code for nets [i] based on digital (14, 65, 65)-net over F8, using
(144, 187, 329)-Net over F2 — Digital
Digital (144, 187, 329)-net over F2, using
(144, 187, 3994)-Net in Base 2 — Upper bound on s
There is no (144, 187, 3995)-net in base 2, because
- 1 times m-reduction [i] would yield (144, 186, 3995)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 98 573398 232975 262717 861542 241522 549664 072185 608561 217472 > 2186 [i]