Information on Result #631528
Linear OA(366, 108, F3, 27) (dual of [108, 42, 28]-code), using concatenation of two codes based on
- linear OA(2713, 27, F27, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
- Reed–Solomon code RS(14,27) [i]
- 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(365, 107, F3, 26) (dual of [107, 42, 27]-code) | [i] | Truncation | |
| 2 | Linear OA(371, 120, F3, 27) (dual of [120, 49, 28]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OOA(366, 54, F3, 2, 27) (dual of [(54, 2), 42, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(366, 36, F3, 3, 27) (dual of [(36, 3), 42, 28]-NRT-code) | [i] | ||