Best Known (117, 117+38, s)-Nets in Base 8
(117, 117+38, 1051)-Net over F8 — Constructive and digital
Digital (117, 155, 1051)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (4, 23, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- digital (94, 132, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 66, 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, 66, 513)-net over F64, using
- digital (4, 23, 25)-net over F8, using
(117, 117+38, 12725)-Net over F8 — Digital
Digital (117, 155, 12725)-net over F8, using
(117, 117+38, large)-Net in Base 8 — Upper bound on s
There is no (117, 155, large)-net in base 8, because
- 36 times m-reduction [i] would yield (117, 119, large)-net in base 8, but