Best Known (30, 30+66, s)-Nets in Base 32
(30, 30+66, 120)-Net over F32 — Constructive and digital
Digital (30, 96, 120)-net over F32, using
- t-expansion [i] based on digital (11, 96, 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
(30, 30+66, 177)-Net in Base 32 — Constructive
(30, 96, 177)-net in base 32, using
- t-expansion [i] based on (25, 96, 177)-net in base 32, using
- 12 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- 12 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(30, 30+66, 273)-Net over F32 — Digital
Digital (30, 96, 273)-net over F32, using
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 30 and N(F) ≥ 273, using
(30, 30+66, 10136)-Net in Base 32 — Upper bound on s
There is no (30, 96, 10137)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3 128662 928731 258280 465521 734692 745948 238265 194085 693743 712234 821701 252268 667267 144511 293164 853860 287946 904279 551875 222698 952083 379096 216550 963040 > 3296 [i]