Best Known (30, 86, s)-Nets in Base 32
(30, 86, 120)-Net over F32 — Constructive and digital
Digital (30, 86, 120)-net over F32, using
- t-expansion [i] based on digital (11, 86, 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, 86, 192)-Net in Base 32 — Constructive
(30, 86, 192)-net in base 32, using
- t-expansion [i] based on (29, 86, 192)-net in base 32, using
- 5 times m-reduction [i] based on (29, 91, 192)-net in base 32, using
- base change [i] based on digital (3, 65, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- base change [i] based on digital (3, 65, 192)-net over F128, using
- 5 times m-reduction [i] based on (29, 91, 192)-net in base 32, using
(30, 86, 273)-Net over F32 — Digital
Digital (30, 86, 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, 86, 15282)-Net in Base 32 — Upper bound on s
There is no (30, 86, 15283)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2775 110372 206473 132558 940865 888934 992379 856359 996558 555847 360421 772556 626463 389782 558206 030982 925300 161631 057647 495946 604264 921784 > 3286 [i]