Best Known (252−70, 252, s)-Nets in Base 2
(252−70, 252, 195)-Net over F2 — Constructive and digital
Digital (182, 252, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 84, 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
(252−70, 252, 262)-Net over F2 — Digital
Digital (182, 252, 262)-net over F2, using
(252−70, 252, 1993)-Net in Base 2 — Upper bound on s
There is no (182, 252, 1994)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 7294 981086 974301 375636 041959 210186 167354 095573 130656 358800 118091 908669 897504 > 2252 [i]