Information on Result #695097
Linear OA(2731, 19686, F27, 11) (dual of [19686, 19655, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(2731, 19683, F27, 11) (dual of [19683, 19652, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2728, 19683, F27, 10) (dual of [19683, 19655, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 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(2736, 19714, F27, 11) (dual of [19714, 19678, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2737, 19724, F27, 11) (dual of [19724, 19687, 12]-code) | [i] | ||
| 3 | Linear OA(2738, 20389, F27, 11) (dual of [20389, 20351, 12]-code) | [i] | ||
| 4 | Linear OA(2740, 20418, F27, 11) (dual of [20418, 20378, 12]-code) | [i] | ||
| 5 | Linear OOA(2731, 9843, F27, 2, 11) (dual of [(9843, 2), 19655, 12]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2731, 3937, F27, 11, 11) (dual of [(3937, 11), 43276, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |