Information on Result #621994
Linear OA(344, 51, F3, 27) (dual of [51, 7, 28]-code), using construction X applied to C2 ⊂ D1 based on
- linear OA(338, 40, F3, 29) (dual of [40, 2, 30]-code), using code C2 for u = 4 by de Boer and Brouwer [i]
- linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using augmented code D1 for u = 4 by de Boer and Brouwer [i]
- linear OA(36, 11, F3, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-code), using
- extended Golay code Ge(3) [i]
- discarding factors / shortening the dual code based on linear OA(36, 12, F3, 5) (dual of [12, 6, 6]-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(3212, 219, F3, 135) (dual of [219, 7, 136]-code) | [i] | Juxtaposition | |
| 2 | Linear OOA(344, 17, F3, 3, 27) (dual of [(17, 3), 7, 28]-NRT-code) | [i] | OOA Folding | |