Best Known (22, 58, s)-Nets in Base 32
(22, 58, 120)-Net over F32 — Constructive and digital
Digital (22, 58, 120)-net over F32, using
- t-expansion [i] based on digital (11, 58, 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
(22, 58, 185)-Net over F32 — Digital
Digital (22, 58, 185)-net over F32, using
- t-expansion [i] based on digital (21, 58, 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
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
(22, 58, 192)-Net in Base 32 — Constructive
(22, 58, 192)-net in base 32, using
- 8 times m-reduction [i] based on (22, 66, 192)-net in base 32, using
- base change [i] based on (11, 55, 192)-net in base 64, using
- 1 times m-reduction [i] based on (11, 56, 192)-net in base 64, using
- base change [i] based on digital (3, 48, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- base change [i] based on digital (3, 48, 192)-net over F128, using
- 1 times m-reduction [i] based on (11, 56, 192)-net in base 64, using
- base change [i] based on (11, 55, 192)-net in base 64, using
(22, 58, 257)-Net in Base 32
(22, 58, 257)-net in base 32, using
- 2 times m-reduction [i] based on (22, 60, 257)-net in base 32, using
- base change [i] based on digital (12, 50, 257)-net over F64, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- net from sequence [i] based on digital (12, 256)-sequence over F64, using
- base change [i] based on digital (12, 50, 257)-net over F64, using
(22, 58, 17237)-Net in Base 32 — Upper bound on s
There is no (22, 58, 17238)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1990 901045 210330 941462 058571 122736 648751 148294 739878 344702 032007 453185 978366 538252 464074 > 3258 [i]