Best Known (25, 25+65, s)-Nets in Base 32
(25, 25+65, 120)-Net over F32 — Constructive and digital
Digital (25, 90, 120)-net over F32, using
- t-expansion [i] based on digital (11, 90, 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
(25, 25+65, 177)-Net in Base 32 — Constructive
(25, 90, 177)-net in base 32, using
- 18 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- base change [i] based on digital (7, 90, 177)-net over F64, using
(25, 25+65, 225)-Net over F32 — Digital
Digital (25, 90, 225)-net over F32, using
- t-expansion [i] based on digital (24, 90, 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
- net from sequence [i] based on digital (24, 224)-sequence over F32, using
(25, 25+65, 6318)-Net in Base 32 — Upper bound on s
There is no (25, 90, 6319)-net in base 32, because
- 1 times m-reduction [i] would yield (25, 89, 6319)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 91 293823 679053 246032 946760 449687 959978 160326 351000 431355 061646 132271 213080 629856 667020 805161 595309 918708 679461 409224 820844 591521 573345 > 3289 [i]