Best Known (76, 76+25, s)-Nets in Base 7
(76, 76+25, 688)-Net over F7 — Constructive and digital
Digital (76, 101, 688)-net over F7, using
- 9 times m-reduction [i] based on digital (76, 110, 688)-net over F7, using
- trace code for nets [i] based on digital (21, 55, 344)-net over F49, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- trace code for nets [i] based on digital (21, 55, 344)-net over F49, using
(76, 76+25, 5896)-Net over F7 — Digital
Digital (76, 101, 5896)-net over F7, using
(76, 76+25, large)-Net in Base 7 — Upper bound on s
There is no (76, 101, large)-net in base 7, because
- 23 times m-reduction [i] would yield (76, 78, large)-net in base 7, but