Information on Result #865241
Linear OOA(2753, 265722, F27, 2, 14) (dual of [(265722, 2), 531391, 15]-NRT-code), using OOA 2-folding based on linear OA(2753, 531444, F27, 14) (dual of [531444, 531391, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2753, 531445, F27, 14) (dual of [531445, 531392, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] 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
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
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(2760, 265750, F27, 2, 14) (dual of [(265750, 2), 531440, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2761, 265760, F27, 2, 14) (dual of [(265760, 2), 531459, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2762, 265770, F27, 2, 14) (dual of [(265770, 2), 531478, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2763, 265778, F27, 2, 14) (dual of [(265778, 2), 531493, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2764, 265788, F27, 2, 14) (dual of [(265788, 2), 531512, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(2765, 265798, F27, 2, 14) (dual of [(265798, 2), 531531, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(2765, 265806, F27, 2, 14) (dual of [(265806, 2), 531547, 15]-NRT-code) | [i] | ||
| 8 | OOA(2763, 265804, S27, 2, 14) | [i] | ||
| 9 | OOA(2764, 265822, S27, 2, 14) | [i] | ||
| 10 | OOA(2765, 265838, S27, 2, 14) | [i] | ||