Information on Result #720055
Linear OA(9100, 761, F9, 34) (dual of [761, 661, 35]-code), using construction XX applied to C1 = C([722,24]), C2 = C([0,27]), C3 = C1 + C2 = C([0,24]), and C∩ = C1 ∩ C2 = C([722,27]) based on
- linear OA(985, 728, F9, 31) (dual of [728, 643, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,24}, and designed minimum distance d ≥ |I|+1 = 32 [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(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,27}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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(9100, 380, F9, 2, 34) (dual of [(380, 2), 660, 35]-NRT-code) | [i] | OOA Folding | |