Information on Result #674566
Linear OA(398, 531467, F3, 12) (dual of [531467, 531369, 13]-code), using construction X4 applied to Ce(12) ⊂ Ce(9) based on
- 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(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(325, 26, F3, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
- dual of repetition code with length 26 [i]
- linear OA(31, 26, F3, 1) (dual of [26, 25, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(399, 531468, F3, 12) (dual of [531468, 531369, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3100, 531469, F3, 12) (dual of [531469, 531369, 13]-code) | [i] | ||
| 3 | Linear OA(3101, 531471, F3, 12) (dual of [531471, 531370, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(3102, 531473, F3, 12) (dual of [531473, 531371, 13]-code) | [i] | ||