Best Known (30, 30+76, s)-Nets in Base 32
(30, 30+76, 120)-Net over F32 — Constructive and digital
Digital (30, 106, 120)-net over F32, using
- t-expansion [i] based on digital (11, 106, 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+76, 177)-Net in Base 32 — Constructive
(30, 106, 177)-net in base 32, using
- t-expansion [i] based on (25, 106, 177)-net in base 32, using
- 2 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
- 2 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(30, 30+76, 273)-Net over F32 — Digital
Digital (30, 106, 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+76, 7636)-Net in Base 32 — Upper bound on s
There is no (30, 106, 7637)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3522 394540 975425 262567 317539 239170 656486 406775 068810 836208 251684 125794 537958 334825 687001 742758 842448 631122 216450 722844 202942 948376 715267 928354 392309 444207 377680 > 32106 [i]