Best Known (126, 206, s)-Nets in Base 2
(126, 206, 68)-Net over F2 — Constructive and digital
Digital (126, 206, 68)-net over F2, using
- 4 times m-reduction [i] based on digital (126, 210, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 105, 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
- trace code for nets [i] based on digital (21, 105, 34)-net over F4, using
(126, 206, 101)-Net over F2 — Digital
Digital (126, 206, 101)-net over F2, using
(126, 206, 503)-Net in Base 2 — Upper bound on s
There is no (126, 206, 504)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 109 580939 077026 044159 207342 717032 069823 275902 268168 403541 530466 > 2206 [i]