Information on Result #718746
Linear OA(9128, 374, F9, 53) (dual of [374, 246, 54]-code), using construction XX applied to C1 = C([46,97]), C2 = C([45,95]), C3 = C1 + C2 = C([46,95]), and C∩ = C1 ∩ C2 = C([45,97]) 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(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(9127, 364, F9, 53) (dual of [364, 237, 54]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {45,46,…,97}, and designed minimum distance d ≥ |I|+1 = 54 [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(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(9128, 187, F9, 2, 53) (dual of [(187, 2), 246, 54]-NRT-code) | [i] | OOA Folding | |