Best Known (198−52, 198, s)-Nets in Base 2
(198−52, 198, 195)-Net over F2 — Constructive and digital
Digital (146, 198, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 66, 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
(198−52, 198, 244)-Net over F2 — Digital
Digital (146, 198, 244)-net over F2, using
(198−52, 198, 2030)-Net in Base 2 — Upper bound on s
There is no (146, 198, 2031)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 402822 202893 003104 966668 629235 584299 316560 527745 869868 052686 > 2198 [i]