Information on Result #564035
There is no linear OOA(1685, 77, F16, 2, 81) (dual of [(77, 2), 69, 82]-NRT-code), because 17 step m-reduction would yield linear OA(1668, 77, F16, 64) (dual of [77, 9, 65]-code), but
- construction Y1 [i] would yield
- OA(1667, 69, S16, 64), but
- the (dual) Plotkin bound shows that M ≥ 7588 550360 256754 183279 148073 529370 729071 901715 047420 004889 892225 542594 864082 845696 / 13 > 1667 [i]
- OA(169, 77, S16, 8), but
- the Rao or (dual) Hamming bound shows that M ≥ 68757 087631 > 169 [i]
- OA(1667, 69, S16, 64), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.