Information on Result #722799
Linear OA(2569, 216, F25, 38) (dual of [216, 147, 39]-code), using construction X applied to C([6,43]) ⊂ C([9,43]) based on
- linear OA(2567, 208, F25, 38) (dual of [208, 141, 39]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {6,7,…,43}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2561, 208, F25, 35) (dual of [208, 147, 36]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {9,10,…,43}, and designed minimum distance d ≥ |I|+1 = 36 [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(2569, 108, F25, 2, 38) (dual of [(108, 2), 147, 39]-NRT-code) | [i] | OOA Folding | |