Information on Result #550473
There is no linear OOA(2754, 110, F27, 2, 52) (dual of [(110, 2), 166, 53]-NRT-code), because 1 times depth reduction would yield linear OA(2754, 110, F27, 52) (dual of [110, 56, 53]-code), but
- construction Y1 [i] would yield
- linear OA(2753, 56, F27, 52) (dual of [56, 3, 53]-code), but
- linear OA(2756, 110, F27, 54) (dual of [110, 54, 55]-code), but
- discarding factors / shortening the dual code would yield linear OA(2756, 84, F27, 54) (dual of [84, 28, 55]-code), but
- residual code [i] would yield OA(272, 29, S27, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 755 > 272 [i]
- residual code [i] would yield OA(272, 29, S27, 2), but
- discarding factors / shortening the dual code would yield linear OA(2756, 84, F27, 54) (dual of [84, 28, 55]-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.