Information on Result #522614
There is no (18, 71, 150)-net in base 5, because extracting embedded orthogonal array would yield OA(571, 150, S5, 53), but
- the linear programming bound shows that M ≥ 2 819173 110955 266636 768300 282017 810892 329943 583609 675416 689624 785520 833551 994027 763406 311998 631227 633466 438821 627301 811674 161253 028031 887764 238115 499928 964782 399505 055423 021595 854767 554050 599479 477085 672586 873474 129529 821645 429737 822584 041749 155513 186648 157331 060104 979769 675992 429256 439208 984375 / 65580 363757 995317 037851 653608 915349 835262 182113 762035 747309 553607 964830 916367 522198 244785 858084 004228 477630 704800 357184 139014 240700 749584 679778 728869 023534 658543 988990 203319 418559 831944 845582 645159 412561 492192 389531 870608 037394 046278 791497 431943 > 571 [i]
Mode: Bound.
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.