Information on Result #1869316
There is no (14, 14+k, 54)-net in base 4 for arbitrarily large k, because logical equivalence would yield (14, m, 54)-net in base 4 for arbitrarily large m, but
- m-reduction [i] would yield (14, 158, 54)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4158, 54, S4, 3, 144), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 24 563850 913090 465947 542749 620949 849317 931102 007101 506854 390978 489955 526846 477366 325264 063999 770624 / 145 > 4158 [i]
- extracting embedded OOA [i] would yield OOA(4158, 54, S4, 3, 144), but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.