Best Known (152, 152+48, s)-Nets in Base 2
(152, 152+48, 195)-Net over F2 — Constructive and digital
Digital (152, 200, 195)-net over F2, using
- 7 times m-reduction [i] based on digital (152, 207, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 69, 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, 69, 65)-net over F8, using
(152, 152+48, 312)-Net over F2 — Digital
Digital (152, 200, 312)-net over F2, using
(152, 152+48, 3126)-Net in Base 2 — Upper bound on s
There is no (152, 200, 3127)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 612244 174505 938504 166606 099034 628315 245898 493969 555644 526308 > 2200 [i]