Information on Result #727362
Linear OA(3228, 345, F32, 15) (dual of [345, 317, 16]-code), using construction XX applied to C1 = C([340,12]), C2 = C([0,13]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([340,13]) based on
- linear OA(3226, 341, F32, 14) (dual of [341, 315, 15]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3226, 341, F32, 14) (dual of [341, 315, 15]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3228, 341, F32, 15) (dual of [341, 313, 16]-code), using the BCH-code C(I) with length 341 | 322−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3224, 341, F32, 13) (dual of [341, 317, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code) (see above)
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 OA(3289, 1372, F32, 31) (dual of [1372, 1283, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3287, 1372, F32, 30) (dual of [1372, 1285, 31]-code) | [i] | ||