Best Known (106−78, 106, s)-Nets in Base 32
(106−78, 106, 120)-Net over F32 — Constructive and digital
Digital (28, 106, 120)-net over F32, using
- t-expansion [i] based on digital (11, 106, 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
(106−78, 106, 177)-Net in Base 32 — Constructive
(28, 106, 177)-net in base 32, using
- t-expansion [i] based on (25, 106, 177)-net in base 32, using
- 2 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
- 2 times m-reduction [i] based on (25, 108, 177)-net in base 32, using
(106−78, 106, 257)-Net over F32 — Digital
Digital (28, 106, 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
(106−78, 106, 6103)-Net in Base 32 — Upper bound on s
There is no (28, 106, 6104)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3536 446484 596416 870470 467084 086003 136513 805753 865436 923957 915151 377029 325131 109505 654677 802655 224199 638744 461203 395365 730558 858963 562898 959813 584813 213360 453338 > 32106 [i]