Best Known (126, 126+84, s)-Nets in Base 2
(126, 126+84, 68)-Net over F2 — Constructive and digital
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
(126, 126+84, 96)-Net over F2 — Digital
Digital (126, 210, 96)-net over F2, using
(126, 126+84, 469)-Net in Base 2 — Upper bound on s
There is no (126, 210, 470)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1773 207622 219804 597252 224752 754452 909286 670569 880759 241141 799480 > 2210 [i]