Information on Result #720213
Linear OA(9106, 762, F9, 36) (dual of [762, 656, 37]-code), using construction XX applied to C1 = C([58,90]), C2 = C([64,93]), C3 = C1 + C2 = C([64,90]), and C∩ = C1 ∩ C2 = C([58,93]) based on
- linear OA(990, 728, F9, 33) (dual of [728, 638, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,90}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,93}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,93}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,90}, and designed minimum distance d ≥ |I|+1 = 28 [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, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
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(9106, 381, F9, 2, 36) (dual of [(381, 2), 656, 37]-NRT-code) | [i] | OOA Folding | |