Information on Result #1878515
There is no digital (98, m, 210)-net over F3 with unbounded m, because logical equivalence would yield (98, m, 210)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (98, 1043, 210)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(31043, 210, S3, 5, 945), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 269 500932 845703 216560 146455 052285 569048 722959 875140 047572 933727 928010 784085 458459 078494 227989 495465 933401 594383 141203 866552 491258 275154 733006 934126 077475 770253 728451 108727 408180 294476 312579 913498 261142 453721 512828 333653 637991 401322 792469 558215 307390 810367 357077 642283 806649 829686 560559 372203 970129 890713 619657 979286 806967 391796 107517 898511 241315 082164 600765 776268 822439 684534 383622 435923 379651 457685 500724 189528 509354 894321 271874 334123 751533 491724 308508 076694 237070 873507 996487 600386 112458 030710 946367 / 473 > 31043 [i]
- extracting embedded OOA [i] would yield OOA(31043, 210, S3, 5, 945), but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.