Information on Result #694809
Linear OA(2749, 531445, F27, 13) (dual of [531445, 531396, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- 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(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(2755, 531473, F27, 13) (dual of [531473, 531418, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2756, 531483, F27, 13) (dual of [531483, 531427, 14]-code) | [i] | ||
| 3 | Linear OA(2757, 531493, F27, 13) (dual of [531493, 531436, 14]-code) | [i] | ||
| 4 | Linear OA(2758, 531503, F27, 13) (dual of [531503, 531445, 14]-code) | [i] | ||
| 5 | Linear OA(2759, 531552, F27, 13) (dual of [531552, 531493, 14]-code) | [i] | ||
| 6 | Linear OA(2760, 532177, F27, 13) (dual of [532177, 532117, 14]-code) | [i] | ||
| 7 | OA(2757, 531527, S27, 13) | [i] | ||
| 8 | Linear OOA(2749, 265722, F27, 2, 13) (dual of [(265722, 2), 531395, 14]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2749, 88574, F27, 13, 13) (dual of [(88574, 13), 1151413, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |