Best Known (201−66, 201, s)-Nets in Base 2
(201−66, 201, 112)-Net over F2 — Constructive and digital
Digital (135, 201, 112)-net over F2, using
- 3 times m-reduction [i] based on digital (135, 204, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 102, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- trace code for nets [i] based on digital (33, 102, 56)-net over F4, using
(201−66, 201, 145)-Net over F2 — Digital
Digital (135, 201, 145)-net over F2, using
(201−66, 201, 849)-Net in Base 2 — Upper bound on s
There is no (135, 201, 850)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 3 284201 148959 046531 282095 044111 448191 770130 258332 446331 253950 > 2201 [i]