Best Known (76−58, 76, s)-Nets in Base 32
(76−58, 76, 120)-Net over F32 — Constructive and digital
Digital (18, 76, 120)-net over F32, using
- t-expansion [i] based on digital (11, 76, 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
(76−58, 76, 128)-Net in Base 32 — Constructive
(18, 76, 128)-net in base 32, using
- 2 times m-reduction [i] based on (18, 78, 128)-net in base 32, using
- base change [i] based on digital (5, 65, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- base change [i] based on digital (5, 65, 128)-net over F64, using
(76−58, 76, 161)-Net over F32 — Digital
Digital (18, 76, 161)-net over F32, using
- net from sequence [i] based on digital (18, 160)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 18 and N(F) ≥ 161, using
(76−58, 76, 3298)-Net in Base 32 — Upper bound on s
There is no (18, 76, 3299)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 470996 505334 406533 520144 032069 536604 185807 578927 528630 067822 775152 061237 546184 076975 216198 700090 818958 129208 458416 > 3276 [i]