Information on Result #694833
Linear OA(2746, 531450, F27, 12) (dual of [531450, 531404, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- 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(2737, 531441, F27, 10) (dual of [531441, 531404, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 | OA(2754, 531532, S27, 12) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2746, 480990, F27, 2, 12) (dual of [(480990, 2), 961934, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (34, 46, 480990)-net over F27 | [i] | ||
| 4 | Linear OOA(2746, 265725, F27, 2, 12) (dual of [(265725, 2), 531404, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2746, 88575, F27, 12, 12) (dual of [(88575, 12), 1062854, 13]-NRT-code) | [i] | OA Folding and Stacking | |