Information on Result #725058
Linear OA(25105, 877, F25, 38) (dual of [877, 772, 39]-code), using construction XX applied to C1 = C([0,36]), C2 = C([3,37]), C3 = C1 + C2 = C([3,36]), and C∩ = C1 ∩ C2 = C([0,37]) based on
- linear OA(25100, 868, F25, 37) (dual of [868, 768, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2599, 868, F25, 35) (dual of [868, 769, 36]-code), using the BCH-code C(I) with length 868 | 253−1, defining interval I = {3,4,…,37}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(25103, 868, F25, 38) (dual of [868, 765, 39]-code), using the expurgated narrow-sense BCH-code C(I) with length 868 | 253−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2596, 868, F25, 34) (dual of [868, 772, 35]-code), using the BCH-code C(I) with length 868 | 253−1, defining interval I = {3,4,…,36}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(252, 6, F25, 2) (dual of [6, 4, 3]-code or 6-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
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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, 438, F25, 2, 38) (dual of [(438, 2), 771, 39]-NRT-code) | [i] | OOA Folding | |