Best Known (125−30, 125, s)-Nets in Base 8
(125−30, 125, 1026)-Net over F8 — Constructive and digital
Digital (95, 125, 1026)-net over F8, using
- 9 times m-reduction [i] based on digital (95, 134, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 67, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- trace code for nets [i] based on digital (28, 67, 513)-net over F64, using
(125−30, 125, 1030)-Net in Base 8 — Constructive
(95, 125, 1030)-net in base 8, using
- 1 times m-reduction [i] based on (95, 126, 1030)-net in base 8, using
- (u, u+v)-construction [i] based on
- (25, 40, 514)-net in base 8, using
- base change [i] based on digital (15, 30, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 15, 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, 15, 257)-net over F256, using
- base change [i] based on digital (15, 30, 514)-net over F16, using
- (55, 86, 516)-net in base 8, using
- trace code for nets [i] based on (12, 43, 258)-net in base 64, using
- 1 times m-reduction [i] based on (12, 44, 258)-net in base 64, using
- base change [i] based on digital (1, 33, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- base change [i] based on digital (1, 33, 258)-net over F256, using
- 1 times m-reduction [i] based on (12, 44, 258)-net in base 64, using
- trace code for nets [i] based on (12, 43, 258)-net in base 64, using
- (25, 40, 514)-net in base 8, using
- (u, u+v)-construction [i] based on
(125−30, 125, 13036)-Net over F8 — Digital
Digital (95, 125, 13036)-net over F8, using
(125−30, 125, large)-Net in Base 8 — Upper bound on s
There is no (95, 125, large)-net in base 8, because
- 28 times m-reduction [i] would yield (95, 97, large)-net in base 8, but