Best Known (186−116, 186, s)-Nets in Base 2
(186−116, 186, 49)-Net over F2 — Constructive and digital
Digital (70, 186, 49)-net over F2, using
- net from sequence [i] based on digital (70, 48)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, and 1 place with degree 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
(186−116, 186, 134)-Net in Base 2 — Upper bound on s
There is no (70, 186, 135)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 118 677198 206150 051509 946578 906804 829235 749783 633193 553232 > 2186 [i]