Best Known (76−23, 76, s)-Nets in Base 16
(76−23, 76, 1052)-Net over F16 — Constructive and digital
Digital (53, 76, 1052)-net over F16, using
- generalized (u, u+v)-construction [i] based on
- digital (1, 8, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- digital (11, 22, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 11, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- trace code for nets [i] based on digital (0, 11, 257)-net over F256, using
- digital (23, 46, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 23, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- trace code for nets [i] based on digital (0, 23, 257)-net over F256, using
- digital (1, 8, 24)-net over F16, using
(76−23, 76, 8730)-Net over F16 — Digital
Digital (53, 76, 8730)-net over F16, using
(76−23, 76, large)-Net in Base 16 — Upper bound on s
There is no (53, 76, large)-net in base 16, because
- 21 times m-reduction [i] would yield (53, 55, large)-net in base 16, but