Information on Result #973375
Linear OOA(5116, 1043, F5, 3, 29) (dual of [(1043, 3), 3013, 30]-NRT-code), using OOA 3-folding based on linear OA(5116, 3129, F5, 29) (dual of [3129, 3013, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(5116, 3130, F5, 29) (dual of [3130, 3014, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] 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
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
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(5134, 1061, F5, 3, 29) (dual of [(1061, 3), 3049, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5135, 1063, F5, 3, 29) (dual of [(1063, 3), 3054, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(5136, 1064, F5, 3, 29) (dual of [(1064, 3), 3056, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(5137, 1065, F5, 3, 29) (dual of [(1065, 3), 3058, 30]-NRT-code) | [i] | ||