Best Known (10, 10+15, s)-Nets in Base 32
(10, 10+15, 104)-Net over F32 — Constructive and digital
Digital (10, 25, 104)-net over F32, using
- t-expansion [i] based on digital (9, 25, 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+15, 113)-Net over F32 — Digital
Digital (10, 25, 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+15, 257)-Net in Base 32 — Constructive
(10, 25, 257)-net in base 32, using
- 321 times duplication [i] based on (9, 24, 257)-net in base 32, using
- base change [i] based on digital (0, 15, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- base change [i] based on digital (0, 15, 257)-net over F256, using
(10, 10+15, 15775)-Net in Base 32 — Upper bound on s
There is no (10, 25, 15776)-net in base 32, because
- 1 times m-reduction [i] would yield (10, 24, 15776)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 1 329539 135029 017687 710236 214311 959513 > 3224 [i]