Information on Result #599745
There is no digital (29, 124, 210)-net over F5, because extracting embedded orthogonal array would yield linear OA(5124, 210, F5, 95) (dual of [210, 86, 96]-code), but
- construction Y1 [i] would yield
- OA(5123, 145, S5, 95), but
- the linear programming bound shows that M ≥ 523946 922524 269524 545786 907827 294722 187715 168920 019132 326750 498085 399243 564097 560010 850429 534912 109375 / 4025 476446 595648 > 5123 [i]
- OA(586, 210, S5, 65), but
- discarding factors would yield OA(586, 145, S5, 65), but
- the linear programming bound shows that M ≥ 1 681971 586304 181223 187907 190141 264188 172812 749344 276629 843014 476462 881651 126808 966524 933987 666420 440086 867329 609762 499671 015636 681116 117777 216867 334999 506056 192331 016063 690185 546875 / 1 235197 506395 108210 300700 030853 409382 253498 637886 138574 180390 146599 149915 868081 543662 842688 306834 854616 250416 282850 014131 > 586 [i]
- discarding factors would yield OA(586, 145, S5, 65), but
- OA(5123, 145, S5, 95), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.