Information on Result #719687
Linear OA(973, 753, F9, 25) (dual of [753, 680, 26]-code), using construction XX applied to C1 = C([69,90]), C2 = C([73,93]), C3 = C1 + C2 = C([73,90]), and C∩ = C1 ∩ C2 = C([69,93]) based on
- linear OA(960, 728, F9, 22) (dual of [728, 668, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,90}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,93}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {69,70,…,93}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(948, 728, F9, 18) (dual of [728, 680, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,90}, and designed minimum distance d ≥ |I|+1 = 19 [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(973, 251, F9, 3, 25) (dual of [(251, 3), 680, 26]-NRT-code) | [i] | OOA Folding | |