Best Known (106, 106+62, s)-Nets in Base 2
(106, 106+62, 68)-Net over F2 — Constructive and digital
Digital (106, 168, 68)-net over F2, using
- 2 times m-reduction [i] based on digital (106, 170, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 85, 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, 85, 34)-net over F4, using
(106, 106+62, 96)-Net over F2 — Digital
Digital (106, 168, 96)-net over F2, using
(106, 106+62, 487)-Net in Base 2 — Upper bound on s
There is no (106, 168, 488)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 393 504968 202822 900257 011649 591584 529304 680655 149556 > 2168 [i]