Best Known (110−26, 110, s)-Nets in Base 8
(110−26, 110, 1026)-Net over F8 — Constructive and digital
Digital (84, 110, 1026)-net over F8, using
- 2 times m-reduction [i] based on digital (84, 112, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 56, 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, 56, 513)-net over F64, using
(110−26, 110, 1032)-Net in Base 8 — Constructive
(84, 110, 1032)-net in base 8, using
- trace code for nets [i] based on (29, 55, 516)-net in base 64, using
- 1 times m-reduction [i] based on (29, 56, 516)-net in base 64, using
- base change [i] based on digital (15, 42, 516)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 14, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 28, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 14, 258)-net over F256, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (15, 42, 516)-net over F256, using
- 1 times m-reduction [i] based on (29, 56, 516)-net in base 64, using
(110−26, 110, 13694)-Net over F8 — Digital
Digital (84, 110, 13694)-net over F8, using
(110−26, 110, large)-Net in Base 8 — Upper bound on s
There is no (84, 110, large)-net in base 8, because
- 24 times m-reduction [i] would yield (84, 86, large)-net in base 8, but