Information on Result #2228254
Linear OA(369, 111, F3, 28) (dual of [111, 42, 29]-code), using 1 times truncation based on linear OA(370, 112, F3, 29) (dual of [112, 42, 30]-code), using
- concatenation of two codes [i] based on
- linear OA(2714, 28, F27, 14) (dual of [28, 14, 15]-code or 28-arc in PG(13,27)), using
- extended Reed–Solomon code RSe(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
- linear OA(2714, 28, F27, 14) (dual of [28, 14, 15]-code or 28-arc in PG(13,27)), 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(371, 113, F3, 28) (dual of [113, 42, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(372, 114, F3, 28) (dual of [114, 42, 29]-code) | [i] | ||
| 3 | Linear OA(373, 115, F3, 28) (dual of [115, 42, 29]-code) | [i] | ||
| 4 | Linear OA(372, 117, F3, 28) (dual of [117, 45, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(373, 121, F3, 28) (dual of [121, 48, 29]-code) | [i] | ||
| 6 | Linear OA(374, 125, F3, 28) (dual of [125, 51, 29]-code) | [i] | ||
| 7 | Linear OA(371, 114, F3, 28) (dual of [114, 43, 29]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OA(372, 116, F3, 28) (dual of [116, 44, 29]-code) | [i] | ||
| 9 | Linear OOA(369, 55, F3, 2, 28) (dual of [(55, 2), 41, 29]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(369, 37, F3, 3, 28) (dual of [(37, 3), 42, 29]-NRT-code) | [i] | ||