Best Known (103−24, 103, s)-Nets in Base 8
(103−24, 103, 708)-Net over F8 — Constructive and digital
Digital (79, 103, 708)-net over F8, using
- 81 times duplication [i] based on digital (78, 102, 708)-net over F8, using
- t-expansion [i] based on digital (77, 102, 708)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (26, 38, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 19, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 19, 177)-net over F64, using
- digital (39, 64, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 32, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64 (see above)
- trace code for nets [i] based on digital (7, 32, 177)-net over F64, using
- digital (26, 38, 354)-net over F8, using
- (u, u+v)-construction [i] based on
- t-expansion [i] based on digital (77, 102, 708)-net over F8, using
(103−24, 103, 1032)-Net in Base 8 — Constructive
(79, 103, 1032)-net in base 8, using
- 1 times m-reduction [i] based on (79, 104, 1032)-net in base 8, using
- base change [i] based on digital (53, 78, 1032)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (14, 26, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 13, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- trace code for nets [i] based on digital (1, 13, 258)-net over F256, using
- digital (27, 52, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 26, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- trace code for nets [i] based on digital (1, 26, 258)-net over F256, using
- digital (14, 26, 516)-net over F16, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (53, 78, 1032)-net over F16, using
(103−24, 103, 14927)-Net over F8 — Digital
Digital (79, 103, 14927)-net over F8, using
(103−24, 103, large)-Net in Base 8 — Upper bound on s
There is no (79, 103, large)-net in base 8, because
- 22 times m-reduction [i] would yield (79, 81, large)-net in base 8, but