Best Known (103, 173, s)-Nets in Base 2
(103, 173, 66)-Net over F2 — Constructive and digital
Digital (103, 173, 66)-net over F2, using
- 3 times m-reduction [i] based on digital (103, 176, 66)-net over F2, using
- trace code for nets [i] based on digital (15, 88, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- trace code for nets [i] based on digital (15, 88, 33)-net over F4, using
(103, 173, 80)-Net over F2 — Digital
Digital (103, 173, 80)-net over F2, using
(103, 173, 378)-Net in Base 2 — Upper bound on s
There is no (103, 173, 379)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 12494 486453 292598 338418 066334 370964 451074 202548 561438 > 2173 [i]