Information on Result #694065
Linear OA(25105, 633, F25, 56) (dual of [633, 528, 57]-code), using construction X applied to Ce(55) ⊂ Ce(52) 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(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(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(25105, 316, F25, 2, 56) (dual of [(316, 2), 527, 57]-NRT-code) | [i] | OOA Folding | |