Information on Result #718762
Linear OA(9132, 378, F9, 54) (dual of [378, 246, 55]-code), using construction XX applied to C1 = C([46,97]), C2 = C([44,95]), C3 = C1 + C2 = C([46,95]), and C∩ = C1 ∩ C2 = C([44,97]) 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 = {46,47,…,97}, 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 = {44,45,…,95}, and designed minimum distance d ≥ |I|+1 = 53 [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 = {44,45,…,97}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(9118, 364, F9, 50) (dual of [364, 246, 51]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {46,47,…,95}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- 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
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code) (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(9132, 189, F9, 2, 54) (dual of [(189, 2), 246, 55]-NRT-code) | [i] | OOA Folding | |