Information on Result #693738
Linear OA(25103, 878, F25, 37) (dual of [878, 775, 38]-code), using construction X applied to Ce(36) ⊂ Ce(32) 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(2594, 869, F25, 33) (dual of [869, 775, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(253, 9, F25, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,25) or 9-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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(25103, 439, F25, 2, 37) (dual of [(439, 2), 775, 38]-NRT-code) | [i] | OOA Folding | |