Information on Result #694151
Linear OA(25109, 640, F25, 56) (dual of [640, 531, 57]-code), using construction X applied to Ce(55) ⊂ Ce(48) based on
- linear OA(25103, 625, F25, 56) (dual of [625, 522, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [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(256, 15, F25, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,25)), using
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
- Reed–Solomon code RS(19,25) [i]
- discarding factors / shortening the dual code based on linear OA(256, 25, F25, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), 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(25109, 320, F25, 2, 56) (dual of [(320, 2), 531, 57]-NRT-code) | [i] | OOA Folding | |