Information on Result #640125
Linear OA(9112, 168, F9, 57) (dual of [168, 56, 58]-code), using concatenation of two codes based on
- linear OA(8128, 56, F81, 28) (dual of [56, 28, 29]-code or 56-arc in PG(27,81)), using
- discarding factors / shortening the dual code based on linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
- Reed–Solomon code RS(53,81) [i]
- discarding factors / shortening the dual code based on linear OA(8128, 81, F81, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9111, 167, F9, 56) (dual of [167, 56, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(9112, 84, F9, 2, 57) (dual of [(84, 2), 56, 58]-NRT-code) | [i] | OOA Folding | |