Best Known (75, 199, s)-Nets in Base 2
(75, 199, 50)-Net over F2 — Constructive and digital
Digital (75, 199, 50)-net over F2, using
- net from sequence [i] based on digital (75, 49)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 1 place with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
(75, 199, 143)-Net in Base 2 — Upper bound on s
There is no (75, 199, 144)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 952424 058420 513054 300577 173463 613206 591356 073986 816470 162824 > 2199 [i]