Information on Result #737639
Linear OA(5132, 3161, F5, 31) (dual of [3161, 3029, 32]-code), using construction X applied to Ce(30) ⊂ Ce(23) 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(596, 3125, F5, 24) (dual of [3125, 3029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(511, 36, F5, 6) (dual of [36, 25, 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(5134, 3163, F5, 31) (dual of [3163, 3029, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5132, 1580, F5, 2, 31) (dual of [(1580, 2), 3028, 32]-NRT-code) | [i] | OOA Folding | |