Best Known (166−50, 166, s)-Nets in Base 2
(166−50, 166, 112)-Net over F2 — Constructive and digital
Digital (116, 166, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 83, 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
(166−50, 166, 152)-Net over F2 — Digital
Digital (116, 166, 152)-net over F2, using
(166−50, 166, 978)-Net in Base 2 — Upper bound on s
There is no (116, 166, 979)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 94 459344 987303 276472 457737 069217 606493 483914 436896 > 2166 [i]