Information on Result #1873227
There is no digital (98, m, 107)-net over F2 with m > ∞, because logical equivalence would yield (98, 107)-sequence in base 2, but
- net from sequence [i] would yield (98, m, 108)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (98, 855, 108)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2855, 108, S2, 8, 757), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 97 057177 562787 164573 067126 687543 672703 038428 025407 981722 171883 323779 300841 541427 520344 119047 246524 091610 106360 019872 220740 793824 933955 400888 052166 601040 693908 993589 655255 188519 807931 307366 871890 472698 439642 645150 923182 623169 682730 117852 928334 233518 627012 739072 / 379 > 2855 [i]
- extracting embedded OOA [i] would yield OOA(2855, 108, S2, 8, 757), but
- m-reduction [i] would yield (98, 855, 108)-net in base 2, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.