Best Known (244−52, 244, s)-Nets in Base 2
(244−52, 244, 260)-Net over F2 — Constructive and digital
Digital (192, 244, 260)-net over F2, using
- 4 times m-reduction [i] based on digital (192, 248, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 62, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 62, 65)-net over F16, using
(244−52, 244, 508)-Net over F2 — Digital
Digital (192, 244, 508)-net over F2, using
(244−52, 244, 7014)-Net in Base 2 — Upper bound on s
There is no (192, 244, 7015)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 28 362793 307726 367358 944765 914917 581770 680663 891473 159466 376123 404276 779332 > 2244 [i]