Information on Result #737615
Linear OA(5127, 3151, F5, 31) (dual of [3151, 3024, 32]-code), using construction X applied to Ce(30) ⊂ Ce(25) based on
- linear OA(5121, 3125, F5, 31) (dual of [3125, 3004, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(56, 26, F5, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-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(5126, 3150, F5, 30) (dual of [3150, 3024, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(5129, 3155, F5, 31) (dual of [3155, 3026, 32]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(5127, 1575, F5, 2, 31) (dual of [(1575, 2), 3023, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5127, 1050, F5, 3, 31) (dual of [(1050, 3), 3023, 32]-NRT-code) | [i] | ||