Information on Result #633167
Linear OA(3172, 300, F3, 57) (dual of [300, 128, 58]-code), using concatenation of two codes based on
- linear OA(8128, 60, F81, 28) (dual of [60, 32, 29]-code or 60-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(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3171, 299, F3, 56) (dual of [299, 128, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(3172, 150, F3, 2, 57) (dual of [(150, 2), 128, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3172, 100, F3, 3, 57) (dual of [(100, 3), 128, 58]-NRT-code) | [i] | ||