Information on Result #718775
Linear OA(9139, 379, F9, 57) (dual of [379, 240, 58]-code), using construction XX applied to C1 = C([41,95]), C2 = C([39,92]), C3 = C1 + C2 = C([41,92]), and C∩ = C1 ∩ C2 = C([39,95]) based on
- 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(9130, 364, F9, 54) (dual of [364, 234, 55]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {39,40,…,92}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(9136, 364, F9, 57) (dual of [364, 228, 58]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {39,40,…,95}, and designed minimum distance d ≥ |I|+1 = 58 [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(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(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
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(9139, 189, F9, 2, 57) (dual of [(189, 2), 239, 58]-NRT-code) | [i] | OOA Folding | |