Information on Result #633372
Linear OA(3208, 380, F3, 67) (dual of [380, 172, 68]-code), using concatenation of two codes based on
- linear OA(8133, 76, F81, 33) (dual of [76, 43, 34]-code or 76-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(3207, 379, F3, 66) (dual of [379, 172, 67]-code) | [i] | Truncation | |
| 2 | Linear OOA(3208, 190, F3, 2, 67) (dual of [(190, 2), 172, 68]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3208, 126, F3, 3, 67) (dual of [(126, 3), 170, 68]-NRT-code) | [i] | ||