Best Known (19, 74, s)-Nets in Base 32
(19, 74, 120)-Net over F32 — Constructive and digital
Digital (19, 74, 120)-net over F32, using
- t-expansion [i] based on digital (11, 74, 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, 74, 128)-Net in Base 32 — Constructive
(19, 74, 128)-net in base 32, using
- 10 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, 74, 172)-Net over F32 — Digital
Digital (19, 74, 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, 74, 4121)-Net in Base 32 — Upper bound on s
There is no (19, 74, 4122)-net in base 32, because
- 1 times m-reduction [i] would yield (19, 73, 4122)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 75 346423 378323 236448 695404 771630 734513 114083 257173 979626 155213 549791 536155 373423 145622 639122 547046 713121 799168 > 3273 [i]