Information on Result #727483
Linear OA(3288, 351, F32, 47) (dual of [351, 263, 48]-code), using construction XX applied to C1 = C([340,44]), C2 = C([3,45]), C3 = C1 + C2 = C([3,44]), and C∩ = C1 ∩ C2 = C([340,45]) based on
- linear OA(3283, 341, F32, 46) (dual of [341, 258, 47]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,44}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3280, 341, F32, 43) (dual of [341, 261, 44]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {3,4,…,45}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3285, 341, F32, 47) (dual of [341, 256, 48]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,45}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3278, 341, F32, 42) (dual of [341, 263, 43]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {3,4,…,44}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(323, 8, F32, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,32) or 8-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), 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(3288, 175, F32, 2, 47) (dual of [(175, 2), 262, 48]-NRT-code) | [i] | OOA Folding | |