Best Known (132, 222, s)-Nets in Base 2
(132, 222, 68)-Net over F2 — Constructive and digital
Digital (132, 222, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 111, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second 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) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
(132, 222, 98)-Net over F2 — Digital
Digital (132, 222, 98)-net over F2, using
(132, 222, 475)-Net in Base 2 — Upper bound on s
There is no (132, 222, 476)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 7 234092 658138 984766 660742 769705 622107 317701 125886 032922 231705 541176 > 2222 [i]