Best Known (86, 86+54, s)-Nets in Base 9
(86, 86+54, 740)-Net over F9 — Constructive and digital
Digital (86, 140, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 70, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(86, 86+54, 871)-Net over F9 — Digital
Digital (86, 140, 871)-net over F9, using
(86, 86+54, 121110)-Net in Base 9 — Upper bound on s
There is no (86, 140, 121111)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 39 263503 028743 960027 892856 250862 779439 746557 464862 197122 413402 893247 980144 988432 055793 000112 787441 433009 990815 602531 435872 104653 897321 > 9140 [i]