Best Known (101, 101+31, s)-Nets in Base 8
(101, 101+31, 1026)-Net over F8 — Constructive and digital
Digital (101, 132, 1026)-net over F8, using
- 14 times m-reduction [i] based on digital (101, 146, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 73, 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, 73, 513)-net over F64, using
(101, 101+31, 1034)-Net in Base 8 — Constructive
(101, 132, 1034)-net in base 8, using
- base change [i] based on digital (68, 99, 1034)-net over F16, using
- 161 times duplication [i] based on digital (67, 98, 1034)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (17, 32, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 16, 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, 16, 258)-net over F256, using
- digital (35, 66, 518)-net over F16, using
- trace code for nets [i] based on digital (2, 33, 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, 33, 259)-net over F256, using
- digital (17, 32, 516)-net over F16, using
- (u, u+v)-construction [i] based on
- 161 times duplication [i] based on digital (67, 98, 1034)-net over F16, using
(101, 101+31, 16206)-Net over F8 — Digital
Digital (101, 132, 16206)-net over F8, using
(101, 101+31, large)-Net in Base 8 — Upper bound on s
There is no (101, 132, large)-net in base 8, because
- 29 times m-reduction [i] would yield (101, 103, large)-net in base 8, but