Information on Result #727558
Linear OA(32110, 360, F32, 58) (dual of [360, 250, 59]-code), using construction XX applied to C1 = C([340,55]), C2 = C([6,56]), C3 = C1 + C2 = C([6,55]), and C∩ = C1 ∩ C2 = C([340,56]) based on
- linear OA(32102, 341, F32, 57) (dual of [341, 239, 58]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,55}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(3293, 341, F32, 51) (dual of [341, 248, 52]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {6,7,…,56}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(32104, 341, F32, 58) (dual of [341, 237, 59]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,56}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3291, 341, F32, 50) (dual of [341, 250, 51]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {6,7,…,55}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(326, 17, F32, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 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(32110, 180, F32, 2, 58) (dual of [(180, 2), 250, 59]-NRT-code) | [i] | OOA Folding | |