Best Known (76−33, 76, s)-Nets in Base 5
(76−33, 76, 132)-Net over F5 — Constructive and digital
Digital (43, 76, 132)-net over F5, using
- 2 times m-reduction [i] based on digital (43, 78, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 39, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- trace code for nets [i] based on digital (4, 39, 66)-net over F25, using
(76−33, 76, 137)-Net over F5 — Digital
Digital (43, 76, 137)-net over F5, using
(76−33, 76, 3201)-Net in Base 5 — Upper bound on s
There is no (43, 76, 3202)-net in base 5, because
- 1 times m-reduction [i] would yield (43, 75, 3202)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 26543 660066 023754 444892 986717 065185 215491 294292 136705 > 575 [i]