Best Known (160, 224, s)-Nets in Base 2
(160, 224, 138)-Net over F2 — Constructive and digital
Digital (160, 224, 138)-net over F2, using
- 1 times m-reduction [i] based on digital (160, 225, 138)-net over F2, using
- trace code for nets [i] based on digital (10, 75, 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, 75, 46)-net over F8, using
(160, 224, 221)-Net over F2 — Digital
Digital (160, 224, 221)-net over F2, using
(160, 224, 1590)-Net in Base 2 — Upper bound on s
There is no (160, 224, 1591)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 27 343059 444335 822289 385479 146440 752781 615848 894601 813213 715893 252695 > 2224 [i]