Information on Result #631561
Linear OA(371, 104, F3, 31) (dual of [104, 33, 32]-code), using concatenation of two codes based on
- linear OA(2715, 26, F27, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,27)), using
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- Reed–Solomon code RS(12,27) [i]
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(370, 103, F3, 30) (dual of [103, 33, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(371, 52, F3, 2, 31) (dual of [(52, 2), 33, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(371, 34, F3, 3, 31) (dual of [(34, 3), 31, 32]-NRT-code) | [i] | ||