Information on Result #693733
Linear OA(25102, 874, F25, 37) (dual of [874, 772, 38]-code), using construction X applied to Ce(36) ⊂ Ce(33) based on
- 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(2597, 869, F25, 34) (dual of [869, 772, 35]-code), using an extension Ce(33) of the narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-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(25102, 437, F25, 2, 37) (dual of [(437, 2), 772, 38]-NRT-code) | [i] | OOA Folding | |