Best Known (82−40, 82, s)-Nets in Base 9
(82−40, 82, 200)-Net over F9 — Constructive and digital
Digital (42, 82, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 41, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(82−40, 82, 8472)-Net in Base 9 — Upper bound on s
There is no (42, 82, 8473)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 1 772992 219020 398670 856905 248319 191749 836289 707956 143853 731386 194766 851944 543521 > 982 [i]