Information on Result #694027
Linear OA(25100, 631, F25, 53) (dual of [631, 531, 54]-code), using construction X applied to Ce(52) ⊂ Ce(48) based on
- linear OA(2597, 625, F25, 53) (dual of [625, 528, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2594, 625, F25, 49) (dual of [625, 531, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(253, 6, F25, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,25) or 6-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(25100, 315, F25, 2, 53) (dual of [(315, 2), 530, 54]-NRT-code) | [i] | OOA Folding | |