Best Known (207−80, 207, s)-Nets in Base 2
(207−80, 207, 68)-Net over F2 — Constructive and digital
Digital (127, 207, 68)-net over F2, using
- 5 times m-reduction [i] based on digital (127, 212, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 106, 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, 106, 34)-net over F4, using
(207−80, 207, 103)-Net over F2 — Digital
Digital (127, 207, 103)-net over F2, using
(207−80, 207, 512)-Net in Base 2 — Upper bound on s
There is no (127, 207, 513)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 207 766093 747726 496900 433886 215454 112416 655600 892783 331636 926656 > 2207 [i]