Information on Result #738433
Linear OA(344, 116, F3, 15) (dual of [116, 72, 16]-code), using (u, u+v)-construction based on
- linear OA(316, 58, F3, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- linear OA(328, 58, F3, 15) (dual of [58, 30, 16]-code), using
- 2 times truncation [i] based on linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), using
- extended quadratic residue code Qe(60,3) [i]
- 2 times truncation [i] based on linear OA(330, 60, F3, 17) (dual of [60, 30, 18]-code), 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(343, 115, F3, 14) (dual of [115, 72, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(344, 58, F3, 2, 15) (dual of [(58, 2), 72, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(344, 38, F3, 3, 15) (dual of [(38, 3), 70, 16]-NRT-code) | [i] | ||