Best Known (126, 126+60, s)-Nets in Base 2
(126, 126+60, 112)-Net over F2 — Constructive and digital
Digital (126, 186, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 93, 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
(126, 126+60, 142)-Net over F2 — Digital
Digital (126, 186, 142)-net over F2, using
(126, 126+60, 841)-Net in Base 2 — Upper bound on s
There is no (126, 186, 842)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 98 190022 317076 999149 687740 927476 098411 209116 067617 728480 > 2186 [i]