Information on Result #633058
Linear OA(3182, 390, F3, 53) (dual of [390, 208, 54]-code), using concatenation of two codes based on
- linear OA(8126, 78, F81, 26) (dual of [78, 52, 27]-code or 78-arc in PG(25,81)), using
- discarding factors / shortening the dual code based on linear OA(8126, 81, F81, 26) (dual of [81, 55, 27]-code or 81-arc in PG(25,81)), using
- Reed–Solomon code RS(55,81) [i]
- discarding factors / shortening the dual code based on linear OA(8126, 81, F81, 26) (dual of [81, 55, 27]-code or 81-arc in PG(25,81)), 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(3181, 389, F3, 52) (dual of [389, 208, 53]-code) | [i] | Truncation | |
| 2 | Linear OOA(3182, 195, F3, 2, 53) (dual of [(195, 2), 208, 54]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3182, 130, F3, 3, 53) (dual of [(130, 3), 208, 54]-NRT-code) | [i] | ||