Information on Result #683133
Linear OA(5137, 3186, F5, 29) (dual of [3186, 3049, 30]-code), using construction X applied to Ce(28) ⊂ Ce(18) 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(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(521, 61, F5, 9) (dual of [61, 40, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(521, 62, F5, 9) (dual of [62, 41, 10]-code), 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(5137, 1593, F5, 2, 29) (dual of [(1593, 2), 3049, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5137, 1062, F5, 3, 29) (dual of [(1062, 3), 3049, 30]-NRT-code) | [i] | ||