Information on Result #633370
Linear OA(3210, 390, F3, 67) (dual of [390, 180, 68]-code), using concatenation of two codes based on
- linear OA(8133, 78, F81, 33) (dual of [78, 45, 34]-code or 78-arc in PG(32,81)), using
- discarding factors / shortening the dual code based on linear OA(8133, 81, F81, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), using
- Reed–Solomon code RS(48,81) [i]
- discarding factors / shortening the dual code based on linear OA(8133, 81, F81, 33) (dual of [81, 48, 34]-code or 81-arc in PG(32,81)), 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(3209, 389, F3, 66) (dual of [389, 180, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(3210, 195, F3, 2, 67) (dual of [(195, 2), 180, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3210, 130, F3, 3, 67) (dual of [(130, 3), 180, 68]-NRT-code) | [i] | ||