Best Known (46−32, 46, s)-Nets in Base 81
(46−32, 46, 224)-Net over F81 — Constructive and digital
Digital (14, 46, 224)-net over F81, using
- t-expansion [i] based on digital (13, 46, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(46−32, 46, 298)-Net over F81 — Digital
Digital (14, 46, 298)-net over F81, using
- t-expansion [i] based on digital (12, 46, 298)-net over F81, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 12 and N(F) ≥ 298, using
- net from sequence [i] based on digital (12, 297)-sequence over F81, using
(46−32, 46, 26074)-Net in Base 81 — Upper bound on s
There is no (14, 46, 26075)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 6172 495944 742677 710001 138963 813155 539188 399959 731921 474970 360410 938435 660492 738990 176001 > 8146 [i]