Information on Result #611868
Linear OA(334, 42, F3, 21) (dual of [42, 8, 22]-code), using construction X applied to C([0,19]) ⊂ C([1,19]) based on
- linear OA(333, 40, F3, 21) (dual of [40, 7, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [0,19], and minimum distance d ≥ |{−1,0,…,19}|+1 = 22 (BCH-bound) [i]
- linear OA(332, 40, F3, 19) (dual of [40, 8, 20]-code), using the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 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 OOA(334, 21, F3, 2, 21) (dual of [(21, 2), 8, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(334, 14, F3, 3, 21) (dual of [(14, 3), 8, 22]-NRT-code) | [i] | ||