Information on Result #719893
Linear OA(977, 744, F9, 28) (dual of [744, 667, 29]-code), using construction XX applied to C1 = C([76,100]), C2 = C([73,97]), C3 = C1 + C2 = C([76,97]), and C∩ = C1 ∩ C2 = C([73,100]) based on
- 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 = {76,77,…,100}, and designed minimum distance d ≥ |I|+1 = 26 [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 = {73,74,…,97}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {73,74,…,100}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(961, 728, F9, 22) (dual of [728, 667, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,97}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)) (see above)
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(977, 372, F9, 2, 28) (dual of [(372, 2), 667, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(977, 248, F9, 3, 28) (dual of [(248, 3), 667, 29]-NRT-code) | [i] | ||