Best Known (110−70, 110, s)-Nets in Base 32
(110−70, 110, 120)-Net over F32 — Constructive and digital
Digital (40, 110, 120)-net over F32, using
- t-expansion [i] based on digital (11, 110, 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
(110−70, 110, 216)-Net in Base 32 — Constructive
(40, 110, 216)-net in base 32, using
- 322 times duplication [i] based on (38, 108, 216)-net in base 32, using
- t-expansion [i] based on (36, 108, 216)-net in base 32, using
- base change [i] based on (18, 90, 216)-net in base 64, using
- 1 times m-reduction [i] based on (18, 91, 216)-net in base 64, using
- base change [i] based on digital (5, 78, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 78, 216)-net over F128, using
- 1 times m-reduction [i] based on (18, 91, 216)-net in base 64, using
- base change [i] based on (18, 90, 216)-net in base 64, using
- t-expansion [i] based on (36, 108, 216)-net in base 32, using
(110−70, 110, 293)-Net over F32 — Digital
Digital (40, 110, 293)-net over F32, using
- net from sequence [i] based on digital (40, 292)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 40 and N(F) ≥ 293, using
(110−70, 110, 342)-Net in Base 32
(40, 110, 342)-net in base 32, using
- 322 times duplication [i] based on (38, 108, 342)-net in base 32, using
- base change [i] based on digital (20, 90, 342)-net over F64, using
- net from sequence [i] based on digital (20, 341)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- net from sequence [i] based on digital (20, 341)-sequence over F64, using
- base change [i] based on digital (20, 90, 342)-net over F64, using
(110−70, 110, 24101)-Net in Base 32 — Upper bound on s
There is no (40, 110, 24102)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3687 327587 180152 832357 618867 649380 743838 227827 075073 655030 772892 373644 886310 119397 795887 611948 725967 897169 068920 232014 784876 905739 804617 952338 840683 529072 891303 415494 > 32110 [i]