Information on Result #737673
Linear OA(5122, 3166, F5, 28) (dual of [3166, 3044, 29]-code), using construction X applied to Ce(27) ⊂ Ce(20) based on
- 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(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(511, 41, F5, 6) (dual of [41, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-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 OA(5124, 3168, F5, 28) (dual of [3168, 3044, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5125, 3169, F5, 28) (dual of [3169, 3044, 29]-code) | [i] | ||
| 3 | Linear OA(5126, 3170, F5, 28) (dual of [3170, 3044, 29]-code) | [i] | ||
| 4 | Linear OOA(5122, 1583, F5, 2, 28) (dual of [(1583, 2), 3044, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5122, 1055, F5, 3, 28) (dual of [(1055, 3), 3043, 29]-NRT-code) | [i] | ||