Best Known (66, 107, s)-Nets in Base 32
(66, 107, 360)-Net over F32 — Constructive and digital
Digital (66, 107, 360)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (11, 24, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- digital (11, 31, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32 (see above)
- digital (11, 52, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32 (see above)
- digital (11, 24, 120)-net over F32, using
(66, 107, 578)-Net in Base 32 — Constructive
(66, 107, 578)-net in base 32, using
- (u, u+v)-construction [i] based on
- (4, 24, 65)-net in base 32, using
- base change [i] based on digital (0, 20, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base change [i] based on digital (0, 20, 65)-net over F64, using
- (42, 83, 513)-net in base 32, using
- 1 times m-reduction [i] based on (42, 84, 513)-net in base 32, using
- base change [i] based on digital (28, 70, 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
- base change [i] based on digital (28, 70, 513)-net over F64, using
- 1 times m-reduction [i] based on (42, 84, 513)-net in base 32, using
- (4, 24, 65)-net in base 32, using
(66, 107, 5424)-Net over F32 — Digital
Digital (66, 107, 5424)-net over F32, using
(66, 107, large)-Net in Base 32 — Upper bound on s
There is no (66, 107, large)-net in base 32, because
- 39 times m-reduction [i] would yield (66, 68, large)-net in base 32, but