Best Known (21, 94, s)-Nets in Base 32
(21, 94, 120)-Net over F32 — Constructive and digital
Digital (21, 94, 120)-net over F32, using
- t-expansion [i] based on digital (11, 94, 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
(21, 94, 128)-Net in Base 32 — Constructive
(21, 94, 128)-net in base 32, using
- 2 times m-reduction [i] based on (21, 96, 128)-net in base 32, using
- base change [i] based on digital (5, 80, 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, 80, 128)-net over F64, using
(21, 94, 185)-Net over F32 — Digital
Digital (21, 94, 185)-net over F32, using
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 21 and N(F) ≥ 185, using
(21, 94, 3543)-Net in Base 32 — Upper bound on s
There is no (21, 94, 3544)-net in base 32, because
- 1 times m-reduction [i] would yield (21, 93, 3544)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 96 001246 026217 830539 537815 029613 277215 610887 734300 439058 893150 472281 314449 606906 965523 207379 728858 386458 737949 410182 167309 945757 000335 551090 > 3293 [i]