Information on Result #682961
Linear OA(5116, 3130, F5, 29) (dual of [3130, 3014, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(5116, 3125, F5, 29) (dual of [3125, 3009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 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(5120, 3161, F5, 29) (dual of [3161, 3041, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(5121, 3199, F5, 29) (dual of [3199, 3078, 30]-code) | [i] | ||
| 3 | Linear OA(5122, 3270, F5, 29) (dual of [3270, 3148, 30]-code) | [i] | ||
| 4 | Linear OA(5123, 3388, F5, 29) (dual of [3388, 3265, 30]-code) | [i] | ||
| 5 | Linear OA(5124, 3551, F5, 29) (dual of [3551, 3427, 30]-code) | [i] | ||
| 6 | Linear OA(5125, 3746, F5, 29) (dual of [3746, 3621, 30]-code) | [i] | ||
| 7 | Linear OA(5126, 3963, F5, 29) (dual of [3963, 3837, 30]-code) | [i] | ||
| 8 | Linear OOA(5116, 1565, F5, 2, 29) (dual of [(1565, 2), 3014, 30]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(5116, 1043, F5, 3, 29) (dual of [(1043, 3), 3013, 30]-NRT-code) | [i] | ||