Information on Result #1878340
There is no digital (11, 11+k, 32)-net over F3 for arbitrarily large k, because logical equivalence would yield (11, m, 32)-net in base 3 for arbitrarily large m, but
- m-reduction [i] would yield (11, 90, 32)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(390, 32, S3, 3, 79), but
- the LP bound with quadratic polynomials shows that M ≥ 177 468592 551116 819326 458415 416026 789247 509463 / 20 > 390 [i]
- extracting embedded OOA [i] would yield OOA(390, 32, S3, 3, 79), but
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.