Best Known (54, 104, s)-Nets in Base 9
(54, 104, 232)-Net over F9 — Constructive and digital
Digital (54, 104, 232)-net over F9, using
- trace code for nets [i] based on digital (2, 52, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
(54, 104, 241)-Net over F9 — Digital
Digital (54, 104, 241)-net over F9, using
(54, 104, 11847)-Net in Base 9 — Upper bound on s
There is no (54, 104, 11848)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 1744 120156 202469 966116 310764 697452 207705 166379 313219 453390 648520 710935 138508 790171 167390 403789 165633 > 9104 [i]