Best Known (132, 132+66, s)-Nets in Base 2
(132, 132+66, 112)-Net over F2 — Constructive and digital
Digital (132, 198, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 99, 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
(132, 132+66, 139)-Net over F2 — Digital
Digital (132, 198, 139)-net over F2, using
(132, 132+66, 794)-Net in Base 2 — Upper bound on s
There is no (132, 198, 795)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 406581 133436 095135 159287 542496 294981 287803 280791 667185 490080 > 2198 [i]