Best Known (28, 88, s)-Nets in Base 32
(28, 88, 120)-Net over F32 — Constructive and digital
Digital (28, 88, 120)-net over F32, using
- t-expansion [i] based on digital (11, 88, 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
(28, 88, 177)-Net in Base 32 — Constructive
(28, 88, 177)-net in base 32, using
- t-expansion [i] based on (25, 88, 177)-net in base 32, using
- 20 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
- 20 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(28, 88, 257)-Net over F32 — Digital
Digital (28, 88, 257)-net over F32, using
- net from sequence [i] based on digital (28, 256)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 28 and N(F) ≥ 257, using
(28, 88, 10089)-Net in Base 32 — Upper bound on s
There is no (28, 88, 10090)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 843653 767948 573309 462706 294526 941235 059823 706838 091854 867620 791620 373300 307546 663712 436995 130995 072842 745068 712890 246795 884731 882800 > 3288 [i]