Best Known (20, 52, s)-Nets in Base 32
(20, 52, 120)-Net over F32 — Constructive and digital
Digital (20, 52, 120)-net over F32, using
- t-expansion [i] based on digital (11, 52, 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
(20, 52, 177)-Net over F32 — Digital
Digital (20, 52, 177)-net over F32, using
- net from sequence [i] based on digital (20, 176)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 20 and N(F) ≥ 177, using
(20, 52, 192)-Net in Base 32 — Constructive
(20, 52, 192)-net in base 32, using
- t-expansion [i] based on (19, 52, 192)-net in base 32, using
- 4 times m-reduction [i] based on (19, 56, 192)-net in base 32, using
- base change [i] based on digital (3, 40, 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, 40, 192)-net over F128, using
- 4 times m-reduction [i] based on (19, 56, 192)-net in base 32, using
(20, 52, 225)-Net in Base 32
(20, 52, 225)-net in base 32, using
- 8 times m-reduction [i] based on (20, 60, 225)-net in base 32, using
- base change [i] based on digital (10, 50, 225)-net over F64, using
- net from sequence [i] based on digital (10, 224)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 10 and N(F) ≥ 225, using
- net from sequence [i] based on digital (10, 224)-sequence over F64, using
- base change [i] based on digital (10, 50, 225)-net over F64, using
(20, 52, 17088)-Net in Base 32 — Upper bound on s
There is no (20, 52, 17089)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1 853072 036388 822254 570653 877692 155634 388359 496311 940245 990652 901212 828832 399860 > 3252 [i]