Best Known (191−74, 191, s)-Nets in Base 2
(191−74, 191, 68)-Net over F2 — Constructive and digital
Digital (117, 191, 68)-net over F2, using
- 1 times m-reduction [i] based on digital (117, 192, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 96, 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, 96, 34)-net over F4, using
(191−74, 191, 95)-Net over F2 — Digital
Digital (117, 191, 95)-net over F2, using
(191−74, 191, 472)-Net in Base 2 — Upper bound on s
There is no (117, 191, 473)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 3332 339062 735743 792852 434388 431557 681423 634060 671509 640200 > 2191 [i]