Best Known (96, 126, s)-Nets in Base 8
(96, 126, 1026)-Net over F8 — Constructive and digital
Digital (96, 126, 1026)-net over F8, using
- 10 times m-reduction [i] based on digital (96, 136, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 68, 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, 68, 513)-net over F64, using
(96, 126, 1032)-Net in Base 8 — Constructive
(96, 126, 1032)-net in base 8, using
- trace code for nets [i] based on (33, 63, 516)-net in base 64, using
- 1 times m-reduction [i] based on (33, 64, 516)-net in base 64, using
- base change [i] based on digital (17, 48, 516)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 16, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 32, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 16, 258)-net over F256, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (17, 48, 516)-net over F256, using
- 1 times m-reduction [i] based on (33, 64, 516)-net in base 64, using
(96, 126, 14004)-Net over F8 — Digital
Digital (96, 126, 14004)-net over F8, using
(96, 126, large)-Net in Base 8 — Upper bound on s
There is no (96, 126, large)-net in base 8, because
- 28 times m-reduction [i] would yield (96, 98, large)-net in base 8, but