Information on Result #721365
Linear OA(1644, 94, F16, 25) (dual of [94, 50, 26]-code), using construction XX applied to C1 = C([5,28]), C2 = C([4,24]), C3 = C1 + C2 = C([5,24]), and C∩ = C1 ∩ C2 = C([4,28]) based on
- linear OA(1639, 85, F16, 24) (dual of [85, 46, 25]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,28}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(1637, 85, F16, 21) (dual of [85, 48, 22]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {4,5,…,24}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1641, 85, F16, 25) (dual of [85, 44, 26]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {4,5,…,28}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1635, 85, F16, 20) (dual of [85, 50, 21]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,24}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(163, 7, F16, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,16) or 7-cap in PG(2,16)), using
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- Reed–Solomon code RS(13,16) [i]
- discarding factors / shortening the dual code based on linear OA(163, 16, F16, 3) (dual of [16, 13, 4]-code or 16-arc in PG(2,16) or 16-cap in PG(2,16)), using
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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(1644, 47, F16, 2, 25) (dual of [(47, 2), 50, 26]-NRT-code) | [i] | OOA Folding | |