Best Known (120−28, 120, s)-Nets in Base 8
(120−28, 120, 1026)-Net over F8 — Constructive and digital
Digital (92, 120, 1026)-net over F8, using
- 8 times m-reduction [i] based on digital (92, 128, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 64, 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, 64, 513)-net over F64, using
(120−28, 120, 1034)-Net in Base 8 — Constructive
(92, 120, 1034)-net in base 8, using
- base change [i] based on digital (62, 90, 1034)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (16, 30, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 15, 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, 15, 258)-net over F256, using
- digital (32, 60, 518)-net over F16, using
- trace code for nets [i] based on digital (2, 30, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- trace code for nets [i] based on digital (2, 30, 259)-net over F256, using
- digital (16, 30, 516)-net over F16, using
- (u, u+v)-construction [i] based on
(120−28, 120, 16121)-Net over F8 — Digital
Digital (92, 120, 16121)-net over F8, using
(120−28, 120, large)-Net in Base 8 — Upper bound on s
There is no (92, 120, large)-net in base 8, because
- 26 times m-reduction [i] would yield (92, 94, large)-net in base 8, but