Information on Result #728540
Linear OA(3260, 1030, F32, 30) (dual of [1030, 970, 31]-code), using construction XX applied to C1 = C([1021,26]), C2 = C([0,27]), C3 = C1 + C2 = C([0,26]), and C∩ = C1 ∩ C2 = C([1021,27]) based on
- linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−2,−1,…,27}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), using
- Reed–Solomon code RS(31,32) [i]
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), 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 | OA(8100, 1030, S8, 30) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1675, 1030, S16, 30) | [i] | ||
| 3 | Linear OA(3278, 1094, F32, 30) (dual of [1094, 1016, 31]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3280, 1106, F32, 30) (dual of [1106, 1026, 31]-code) | [i] | ||
| 5 | Linear OA(3282, 1128, F32, 30) (dual of [1128, 1046, 31]-code) | [i] | ||
| 6 | Linear OA(3284, 1134, F32, 30) (dual of [1134, 1050, 31]-code) | [i] | ||
| 7 | Linear OA(3286, 1150, F32, 30) (dual of [1150, 1064, 31]-code) | [i] | ||
| 8 | Linear OOA(3260, 515, F32, 2, 30) (dual of [(515, 2), 970, 31]-NRT-code) | [i] | OOA Folding | |