Best Known (114−44, 114, s)-Nets in Base 9
(114−44, 114, 448)-Net over F9 — Constructive and digital
Digital (70, 114, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 57, 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
(114−44, 114, 736)-Net over F9 — Digital
Digital (70, 114, 736)-net over F9, using
(114−44, 114, 99636)-Net in Base 9 — Upper bound on s
There is no (70, 114, 99637)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 6 077678 287385 353565 958060 455665 053145 985613 857075 578592 416905 848598 621826 838482 372041 557344 610427 880021 245105 > 9114 [i]