Information on Result #720210
Linear OA(997, 753, F9, 34) (dual of [753, 656, 35]-code), using construction XX applied to C1 = C([60,90]), C2 = C([64,93]), C3 = C1 + C2 = C([64,90]), and C∩ = C1 ∩ C2 = C([60,93]) based on
- linear OA(984, 728, F9, 31) (dual of [728, 644, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,90}, and designed minimum distance d ≥ |I|+1 = 32 [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(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 = {60,61,…,93}, and designed minimum distance d ≥ |I|+1 = 35 [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(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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(997, 251, F9, 3, 34) (dual of [(251, 3), 656, 35]-NRT-code) | [i] | OOA Folding | |