Best Known (23, 23+38, s)-Nets in Base 32
(23, 23+38, 120)-Net over F32 — Constructive and digital
Digital (23, 61, 120)-net over F32, using
- t-expansion [i] based on digital (11, 61, 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
(23, 23+38, 185)-Net over F32 — Digital
Digital (23, 61, 185)-net over F32, using
- t-expansion [i] based on digital (21, 61, 185)-net over F32, using
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 21 and N(F) ≥ 185, using
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
(23, 23+38, 216)-Net in Base 32 — Constructive
(23, 61, 216)-net in base 32, using
- 2 times m-reduction [i] based on (23, 63, 216)-net in base 32, using
- base change [i] based on digital (5, 45, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 45, 216)-net over F128, using
(23, 23+38, 257)-Net in Base 32
(23, 61, 257)-net in base 32, using
- 5 times m-reduction [i] based on (23, 66, 257)-net in base 32, using
- base change [i] based on digital (12, 55, 257)-net over F64, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
- base change [i] based on digital (12, 55, 257)-net over F64, using
(23, 23+38, 17375)-Net in Base 32 — Upper bound on s
There is no (23, 61, 17376)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 65 220947 632045 680391 018470 967706 024883 012733 250082 336418 497942 469891 718467 978263 952806 426143 > 3261 [i]