Information on Result #674531
Linear OA(3109, 531453, F3, 14) (dual of [531453, 531344, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(3109, 531441, F3, 14) (dual of [531441, 531332, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(397, 531441, F3, 13) (dual of [531441, 531344, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3109, 265726, F3, 2, 14) (dual of [(265726, 2), 531343, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3109, 177151, F3, 3, 14) (dual of [(177151, 3), 531344, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 132863, F3, 4, 14) (dual of [(132863, 4), 531343, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 106290, F3, 5, 14) (dual of [(106290, 5), 531341, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(3109, 75921, F3, 14, 14) (dual of [(75921, 14), 1062785, 15]-NRT-code) | [i] | OA Folding and Stacking | |