Information on Result #718718
Linear OA(9122, 371, F9, 51) (dual of [371, 249, 52]-code), using construction XX applied to C1 = C([46,95]), C2 = C([45,93]), C3 = C1 + C2 = C([46,93]), and C∩ = C1 ∩ C2 = C([45,95]) based on
- 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(9118, 364, F9, 49) (dual of [364, 246, 50]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {45,46,…,93}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(9121, 364, F9, 51) (dual of [364, 243, 52]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {45,46,…,95}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(9115, 364, F9, 48) (dual of [364, 249, 49]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {46,47,…,93}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(91, 4, F9, 1) (dual of [4, 3, 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(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(9122, 185, F9, 2, 51) (dual of [(185, 2), 248, 52]-NRT-code) | [i] | OOA Folding | |