Information on Result #693732
Linear OA(25103, 872, F25, 38) (dual of [872, 769, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) based on
- linear OA(25103, 869, F25, 38) (dual of [869, 766, 39]-code), using an extension Ce(37) of the narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(25100, 869, F25, 37) (dual of [869, 769, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(25104, 873, F25, 38) (dual of [873, 769, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(25103, 436, F25, 2, 38) (dual of [(436, 2), 769, 39]-NRT-code) | [i] | OOA Folding | |