Information on Result #550295
There is no linear OOA(825, 52, F8, 2, 22) (dual of [(52, 2), 79, 23]-NRT-code), because 1 times depth reduction would yield linear OA(825, 52, F8, 22) (dual of [52, 27, 23]-code), but
- construction Y1 [i] would yield
- OA(824, 28, S8, 22), but
- the linear programming bound shows that M ≥ 41 859056 504156 535174 201344 / 8073 > 824 [i]
- linear OA(827, 52, F8, 24) (dual of [52, 25, 25]-code), but
- discarding factors / shortening the dual code would yield linear OA(827, 36, F8, 24) (dual of [36, 9, 25]-code), but
- residual code [i] would yield OA(83, 11, S8, 3), but
- 1 times truncation [i] would yield OA(82, 10, S8, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 71 > 82 [i]
- 1 times truncation [i] would yield OA(82, 10, S8, 2), but
- residual code [i] would yield OA(83, 11, S8, 3), but
- discarding factors / shortening the dual code would yield linear OA(827, 36, F8, 24) (dual of [36, 9, 25]-code), but
- OA(824, 28, S8, 22), 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.