Information on Result #720911
Linear OA(9125, 744, F9, 46) (dual of [744, 619, 47]-code), using construction XX applied to C1 = C([58,100]), C2 = C([55,97]), C3 = C1 + C2 = C([58,97]), and C∩ = C1 ∩ C2 = C([55,100]) based on
- linear OA(9115, 728, F9, 43) (dual of [728, 613, 44]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,100}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(9115, 728, F9, 43) (dual of [728, 613, 44]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,97}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,100}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9109, 728, F9, 40) (dual of [728, 619, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,97}, and designed minimum distance d ≥ |I|+1 = 41 [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(9125, 372, F9, 2, 46) (dual of [(372, 2), 619, 47]-NRT-code) | [i] | OOA Folding | |