Best Known (146−38, 146, s)-Nets in Base 2
(146−38, 146, 138)-Net over F2 — Constructive and digital
Digital (108, 146, 138)-net over F2, using
- 1 times m-reduction [i] based on digital (108, 147, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 49, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- trace code for nets [i] based on digital (10, 49, 46)-net over F8, using
(146−38, 146, 196)-Net over F2 — Digital
Digital (108, 146, 196)-net over F2, using
(146−38, 146, 1602)-Net in Base 2 — Upper bound on s
There is no (108, 146, 1603)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 89 214185 511753 995895 318102 211690 590718 485352 > 2146 [i]