Best Known (80−52, 80, s)-Nets in Base 32
(80−52, 80, 120)-Net over F32 — Constructive and digital
Digital (28, 80, 120)-net over F32, using
- t-expansion [i] based on digital (11, 80, 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
(80−52, 80, 192)-Net in Base 32 — Constructive
(28, 80, 192)-net in base 32, using
- t-expansion [i] based on (27, 80, 192)-net in base 32, using
- 4 times m-reduction [i] based on (27, 84, 192)-net in base 32, using
- base change [i] based on digital (3, 60, 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, 60, 192)-net over F128, using
- 4 times m-reduction [i] based on (27, 84, 192)-net in base 32, using
(80−52, 80, 257)-Net over F32 — Digital
Digital (28, 80, 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
(80−52, 80, 14546)-Net in Base 32 — Upper bound on s
There is no (28, 80, 14547)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 583695 705210 587403 067143 197586 735186 917372 283624 477157 472807 566885 146987 965544 512595 948830 922316 748234 840064 006770 085464 > 3280 [i]