Best Known (146, 146+58, s)-Nets in Base 2
(146, 146+58, 138)-Net over F2 — Constructive and digital
Digital (146, 204, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 68, 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
(146, 146+58, 206)-Net over F2 — Digital
Digital (146, 204, 206)-net over F2, using
(146, 146+58, 1487)-Net in Base 2 — Upper bound on s
There is no (146, 204, 1488)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 25 897813 420439 567426 461309 767002 261723 429105 385092 449296 122004 > 2204 [i]