Information on Result #577566
There is no linear OOA(918, 38, F9, 3, 16) (dual of [(38, 3), 96, 17]-NRT-code), because 2 times depth reduction would yield linear OA(918, 38, F9, 16) (dual of [38, 20, 17]-code), but
- construction Y1 [i] would yield
- linear OA(917, 20, F9, 16) (dual of [20, 3, 17]-code), but
- linear OA(920, 38, F9, 18) (dual of [38, 18, 19]-code), but
- discarding factors / shortening the dual code would yield linear OA(920, 30, F9, 18) (dual of [30, 10, 19]-code), but
- residual code [i] would yield OA(92, 11, S9, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 89 > 92 [i]
- residual code [i] would yield OA(92, 11, S9, 2), but
- discarding factors / shortening the dual code would yield linear OA(920, 30, F9, 18) (dual of [30, 10, 19]-code), 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.