Best Known (43, 75, s)-Nets in Base 32
(43, 75, 260)-Net over F32 — Constructive and digital
Digital (43, 75, 260)-net over F32, using
- generalized (u, u+v)-construction [i] based on
- digital (3, 13, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- digital (7, 23, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- digital (7, 39, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32 (see above)
- digital (3, 13, 64)-net over F32, using
(43, 75, 513)-Net in Base 32 — Constructive
(43, 75, 513)-net in base 32, using
- 15 times m-reduction [i] based on (43, 90, 513)-net in base 32, using
- base change [i] based on digital (28, 75, 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, 75, 513)-net over F64, using
(43, 75, 1770)-Net over F32 — Digital
Digital (43, 75, 1770)-net over F32, using
(43, 75, 2492103)-Net in Base 32 — Upper bound on s
There is no (43, 75, 2492104)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 76957 057698 146206 124642 672037 616549 097167 124271 397660 015907 236228 312253 879955 743877 761161 341155 899700 472311 319620 > 3275 [i]