Best Known (33−24, 33, s)-Nets in Base 32
(33−24, 33, 104)-Net over F32 — Constructive and digital
Digital (9, 33, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
(33−24, 33, 108)-Net over F32 — Digital
Digital (9, 33, 108)-net over F32, using
- net from sequence [i] based on digital (9, 107)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 108, using
(33−24, 33, 113)-Net in Base 32
(9, 33, 113)-net in base 32, using
- 3 times m-reduction [i] based on (9, 36, 113)-net in base 32, using
- base change [i] based on digital (3, 30, 113)-net over F64, using
- net from sequence [i] based on digital (3, 112)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 113, using
- net from sequence [i] based on digital (3, 112)-sequence over F64, using
- base change [i] based on digital (3, 30, 113)-net over F64, using
(33−24, 33, 2344)-Net in Base 32 — Upper bound on s
There is no (9, 33, 2345)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 46 857265 617896 686479 693685 467505 230155 086632 132264 > 3233 [i]