Information on Result #725049
Linear OA(25101, 876, F25, 36) (dual of [876, 775, 37]-code), using construction X applied to C([1,36]) ⊂ C([4,36]) based on
- linear OA(2599, 868, F25, 36) (dual of [868, 769, 37]-code), using 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(2593, 868, F25, 33) (dual of [868, 775, 34]-code), using the BCH-code C(I) with length 868 | 253−1, defining interval I = {4,5,…,36}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(25101, 438, F25, 2, 36) (dual of [(438, 2), 775, 37]-NRT-code) | [i] | OOA Folding | |