Best Known (133, 224, s)-Nets in Base 2
(133, 224, 68)-Net over F2 — Constructive and digital
Digital (133, 224, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 112, 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
(133, 224, 98)-Net over F2 — Digital
Digital (133, 224, 98)-net over F2, using
(133, 224, 483)-Net in Base 2 — Upper bound on s
There is no (133, 224, 484)-net in base 2, because
- 1 times m-reduction [i] would yield (133, 223, 484)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 14 087749 840772 166666 787374 120672 277186 056806 830838 208983 256555 229168 > 2223 [i]