Information on Result #694807
Linear OA(2753, 531445, F27, 14) (dual of [531445, 531392, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2749, 531441, F27, 13) (dual of [531441, 531392, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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 OA(2761, 531483, F27, 14) (dual of [531483, 531422, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2762, 531493, F27, 14) (dual of [531493, 531431, 15]-code) | [i] | ||
| 3 | Linear OA(2763, 531501, F27, 14) (dual of [531501, 531438, 15]-code) | [i] | ||
| 4 | Linear OA(2764, 531511, F27, 14) (dual of [531511, 531447, 15]-code) | [i] | ||
| 5 | Linear OA(2765, 531553, F27, 14) (dual of [531553, 531488, 15]-code) | [i] | ||
| 6 | OA(2763, 531527, S27, 14) | [i] | ||
| 7 | OA(2764, 531545, S27, 14) | [i] | ||
| 8 | OA(2765, 531561, S27, 14) | [i] | ||
| 9 | Linear OOA(2753, 265722, F27, 2, 14) (dual of [(265722, 2), 531391, 15]-NRT-code) | [i] | OOA Folding | |