Best Known (60−49, 60, s)-Nets in Base 9
(60−49, 60, 40)-Net over F9 — Constructive and digital
Digital (11, 60, 40)-net over F9, using
- t-expansion [i] based on digital (8, 60, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(60−49, 60, 55)-Net over F9 — Digital
Digital (11, 60, 55)-net over F9, using
- net from sequence [i] based on digital (11, 54)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 11 and N(F) ≥ 55, using
(60−49, 60, 240)-Net in Base 9 — Upper bound on s
There is no (11, 60, 241)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(960, 241, S9, 49), but
- the linear programming bound shows that M ≥ 1 159726 669887 275891 066272 477409 986739 275111 621115 874116 023188 826964 473224 055661 727724 805201 248357 199289 636850 465259 167174 692105 / 625 133175 721058 278106 098289 002426 214731 823978 061411 259797 268255 516961 > 960 [i]