Best Known (130, 180, s)-Nets in Base 2
(130, 180, 138)-Net over F2 — Constructive and digital
Digital (130, 180, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 60, 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
(130, 180, 196)-Net over F2 — Digital
Digital (130, 180, 196)-net over F2, using
(130, 180, 1459)-Net in Base 2 — Upper bound on s
There is no (130, 180, 1460)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 537831 748020 928921 539825 326643 330458 463781 024800 976460 > 2180 [i]