Best Known (136, 206, s)-Nets in Base 2
(136, 206, 112)-Net over F2 — Constructive and digital
Digital (136, 206, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 103, 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
(136, 206, 137)-Net over F2 — Digital
Digital (136, 206, 137)-net over F2, using
(136, 206, 771)-Net in Base 2 — Upper bound on s
There is no (136, 206, 772)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 103 841558 520274 703939 331112 698943 042333 545677 574598 168195 150872 > 2206 [i]