Best Known (19, 19+64, s)-Nets in Base 32
(19, 19+64, 120)-Net over F32 — Constructive and digital
Digital (19, 83, 120)-net over F32, using
- t-expansion [i] based on digital (11, 83, 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
(19, 19+64, 128)-Net in Base 32 — Constructive
(19, 83, 128)-net in base 32, using
- 1 times m-reduction [i] based on (19, 84, 128)-net in base 32, using
- base change [i] based on digital (5, 70, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- base change [i] based on digital (5, 70, 128)-net over F64, using
(19, 19+64, 172)-Net over F32 — Digital
Digital (19, 83, 172)-net over F32, using
- net from sequence [i] based on digital (19, 171)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 19 and N(F) ≥ 172, using
(19, 19+64, 3290)-Net in Base 32 — Upper bound on s
There is no (19, 83, 3291)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 84617 116990 590943 905274 181231 347751 383370 177697 302608 688571 236357 790319 103924 192380 359547 254831 942486 468679 664751 577452 213630 > 3283 [i]