Best Known (170−52, 170, s)-Nets in Base 2
(170−52, 170, 112)-Net over F2 — Constructive and digital
Digital (118, 170, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 85, 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
(170−52, 170, 149)-Net over F2 — Digital
Digital (118, 170, 149)-net over F2, using
(170−52, 170, 942)-Net in Base 2 — Upper bound on s
There is no (118, 170, 943)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1498 827893 986566 850074 949003 681961 232490 263349 725706 > 2170 [i]