Best Known (70, 180, s)-Nets in Base 2
(70, 180, 49)-Net over F2 — Constructive and digital
Digital (70, 180, 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]
(70, 180, 136)-Net in Base 2 — Upper bound on s
There is no (70, 180, 137)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 729850 366854 307414 855610 044143 895725 700083 260683 943936 > 2180 [i]