Information on Result #720171
Linear OA(991, 745, F9, 33) (dual of [745, 654, 34]-code), using construction XX applied to C1 = C([725,27]), C2 = C([0,29]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([725,29]) based on
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,27}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,29}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), 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(991, 372, F9, 2, 33) (dual of [(372, 2), 653, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(991, 248, F9, 3, 33) (dual of [(248, 3), 653, 34]-NRT-code) | [i] | ||