Best Known (236−68, 236, s)-Nets in Base 2
(236−68, 236, 138)-Net over F2 — Constructive and digital
Digital (168, 236, 138)-net over F2, using
- 1 times m-reduction [i] based on digital (168, 237, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 79, 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, 79, 46)-net over F8, using
(236−68, 236, 226)-Net over F2 — Digital
Digital (168, 236, 226)-net over F2, using
(236−68, 236, 1613)-Net in Base 2 — Upper bound on s
There is no (168, 236, 1614)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 111520 840476 795378 717949 439003 219536 747898 671398 548721 496789 426617 269428 > 2236 [i]