Information on Result #718760
Linear OA(9134, 380, F9, 55) (dual of [380, 246, 56]-code), using construction XX applied to C1 = C([44,95]), C2 = C([41,92]), C3 = C1 + C2 = C([44,92]), and C∩ = C1 ∩ C2 = C([41,95]) based on
- linear OA(9124, 364, F9, 52) (dual of [364, 240, 53]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {44,45,…,95}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(9124, 364, F9, 52) (dual of [364, 240, 53]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {41,42,…,92}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(9130, 364, F9, 55) (dual of [364, 234, 56]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {41,42,…,95}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(9118, 364, F9, 49) (dual of [364, 246, 50]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {44,45,…,92}, and designed minimum distance d ≥ |I|+1 = 50 [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(9134, 190, F9, 2, 55) (dual of [(190, 2), 246, 56]-NRT-code) | [i] | OOA Folding | |