Best Known (120−30, 120, s)-Nets in Base 2
(120−30, 120, 138)-Net over F2 — Constructive and digital
Digital (90, 120, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 40, 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
(120−30, 120, 186)-Net over F2 — Digital
Digital (90, 120, 186)-net over F2, using
(120−30, 120, 1622)-Net in Base 2 — Upper bound on s
There is no (90, 120, 1623)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 334949 351390 310883 955582 767344 832876 > 2120 [i]