Best Known (24, 24+82, s)-Nets in Base 32
(24, 24+82, 120)-Net over F32 — Constructive and digital
Digital (24, 106, 120)-net over F32, using
- t-expansion [i] based on digital (11, 106, 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
(24, 24+82, 128)-Net in Base 32 — Constructive
(24, 106, 128)-net in base 32, using
- t-expansion [i] based on (23, 106, 128)-net in base 32, using
- 2 times m-reduction [i] based on (23, 108, 128)-net in base 32, using
- base change [i] based on digital (5, 90, 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, 90, 128)-net over F64, using
- 2 times m-reduction [i] based on (23, 108, 128)-net in base 32, using
(24, 24+82, 225)-Net over F32 — Digital
Digital (24, 106, 225)-net over F32, using
- net from sequence [i] based on digital (24, 224)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 24 and N(F) ≥ 225, using
(24, 24+82, 4032)-Net in Base 32 — Upper bound on s
There is no (24, 106, 4033)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3515 163452 256878 569878 999111 837725 582032 188106 451108 054724 785241 266116 064108 349571 178389 624668 878593 756785 187844 186708 389404 619308 796769 399588 970258 844440 488640 > 32106 [i]