Information on Result #724881
Linear OA(25110, 665, F25, 51) (dual of [665, 555, 52]-code), using construction XX applied to C1 = C([8,51]), C2 = C([1,41]), C3 = C1 + C2 = C([8,41]), and C∩ = C1 ∩ C2 = C([1,51]) based on
- linear OA(2585, 624, F25, 44) (dual of [624, 539, 45]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {8,9,…,51}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2579, 624, F25, 41) (dual of [624, 545, 42]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2595, 624, F25, 51) (dual of [624, 529, 52]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2567, 624, F25, 34) (dual of [624, 557, 35]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {8,9,…,41}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
- Reed–Solomon code RS(16,25) [i]
- linear OA(256, 16, F25, 6) (dual of [16, 10, 7]-code or 16-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(25110, 332, F25, 2, 51) (dual of [(332, 2), 554, 52]-NRT-code) | [i] | OOA Folding | |