Best Known (170−46, 170, s)-Nets in Base 2
(170−46, 170, 138)-Net over F2 — Constructive and digital
Digital (124, 170, 138)-net over F2, using
- 1 times m-reduction [i] based on digital (124, 171, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 57, 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
- trace code for nets [i] based on digital (10, 57, 46)-net over F8, using
(170−46, 170, 200)-Net over F2 — Digital
Digital (124, 170, 200)-net over F2, using
(170−46, 170, 1549)-Net in Base 2 — Upper bound on s
There is no (124, 170, 1550)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1512 857930 948956 549751 999149 214083 028459 013328 207616 > 2170 [i]