Information on Result #864940
Linear OOA(2714, 265725, F27, 2, 4) (dual of [(265725, 2), 531436, 5]-NRT-code), using OOA 2-folding based on linear OA(2714, 531450, F27, 4) (dual of [531450, 531436, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(2713, 531441, F27, 4) (dual of [531441, 531428, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(275, 531441, F27, 2) (dual of [531441, 531436, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 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 OOA(2750, 4460026, F27, 2, 8) (dual of [(4460026, 2), 8920002, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2755, 4460026, F27, 2, 9) (dual of [(4460026, 2), 8919997, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(2721, 7174575, F27, 2, 4) (dual of [(7174575, 2), 14349129, 5]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |