Best Known (234−84, 234, s)-Nets in Base 2
(234−84, 234, 112)-Net over F2 — Constructive and digital
Digital (150, 234, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 117, 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
(234−84, 234, 135)-Net over F2 — Digital
Digital (150, 234, 135)-net over F2, using
(234−84, 234, 724)-Net in Base 2 — Upper bound on s
There is no (150, 234, 725)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 27810 794602 777597 632362 010950 955374 724644 217769 228082 381006 088889 211480 > 2234 [i]