Best Known (60, 60+58, s)-Nets in Base 9
(60, 60+58, 200)-Net over F9 — Constructive and digital
Digital (60, 118, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 59, 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
(60, 60+58, 244)-Net over F9 — Digital
Digital (60, 118, 244)-net over F9, using
(60, 60+58, 11120)-Net in Base 9 — Upper bound on s
There is no (60, 118, 11121)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 39918 789712 091870 475141 020687 619192 817321 461073 321080 503161 882825 993137 432265 910008 817716 000148 498956 309707 275241 > 9118 [i]