Best Known (35, 102, s)-Nets in Base 32
(35, 102, 120)-Net over F32 — Constructive and digital
Digital (35, 102, 120)-net over F32, using
- t-expansion [i] based on digital (11, 102, 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
(35, 102, 216)-Net in Base 32 — Constructive
(35, 102, 216)-net in base 32, using
- 3 times m-reduction [i] based on (35, 105, 216)-net in base 32, using
- base change [i] based on digital (5, 75, 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, 75, 216)-net over F128, using
(35, 102, 273)-Net over F32 — Digital
Digital (35, 102, 273)-net over F32, using
- t-expansion [i] based on digital (30, 102, 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
- net from sequence [i] based on digital (30, 272)-sequence over F32, using
(35, 102, 281)-Net in Base 32
(35, 102, 281)-net in base 32, using
- base change [i] based on digital (18, 85, 281)-net over F64, using
- net from sequence [i] based on digital (18, 280)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 18 and N(F) ≥ 281, using
- net from sequence [i] based on digital (18, 280)-sequence over F64, using
(35, 102, 17148)-Net in Base 32 — Upper bound on s
There is no (35, 102, 17149)-net in base 32, because
- 1 times m-reduction [i] would yield (35, 101, 17149)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 104 804899 096289 183355 290815 308040 782380 116518 666775 091248 151143 144545 934920 408465 482791 030445 044864 001696 958601 101746 540162 933948 156624 097255 712921 789796 > 32101 [i]