Best Known (10, 10+16, s)-Nets in Base 32
(10, 10+16, 104)-Net over F32 — Constructive and digital
Digital (10, 26, 104)-net over F32, using
- t-expansion [i] based on digital (9, 26, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
(10, 10+16, 113)-Net over F32 — Digital
Digital (10, 26, 113)-net over F32, using
- net from sequence [i] based on digital (10, 112)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 10 and N(F) ≥ 113, using
(10, 10+16, 150)-Net in Base 32 — Constructive
(10, 26, 150)-net in base 32, using
- 4 times m-reduction [i] based on (10, 30, 150)-net in base 32, using
- base change [i] based on (5, 25, 150)-net in base 64, using
- 3 times m-reduction [i] based on (5, 28, 150)-net in base 64, using
- base change [i] based on digital (1, 24, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- base change [i] based on digital (1, 24, 150)-net over F128, using
- 3 times m-reduction [i] based on (5, 28, 150)-net in base 64, using
- base change [i] based on (5, 25, 150)-net in base 64, using
(10, 10+16, 172)-Net in Base 32
(10, 26, 172)-net in base 32, using
- 2 times m-reduction [i] based on (10, 28, 172)-net in base 32, using
- base change [i] based on digital (2, 20, 172)-net over F128, using
- net from sequence [i] based on digital (2, 171)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 2 and N(F) ≥ 172, using
- net from sequence [i] based on digital (2, 171)-sequence over F128, using
- base change [i] based on digital (2, 20, 172)-net over F128, using
(10, 10+16, 9460)-Net in Base 32 — Upper bound on s
There is no (10, 26, 9461)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1362 225564 491789 113864 829370 224073 096542 > 3226 [i]