Information on Result #718800
Linear OA(9147, 375, F9, 61) (dual of [375, 228, 62]-code), using construction XX applied to C1 = C([32,91]), C2 = C([35,92]), C3 = C1 + C2 = C([35,91]), and C∩ = C1 ∩ C2 = C([32,92]) based on
- linear OA(9142, 364, F9, 60) (dual of [364, 222, 61]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {32,33,…,91}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(9139, 364, F9, 58) (dual of [364, 225, 59]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {35,36,…,92}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(9145, 364, F9, 61) (dual of [364, 219, 62]-code), using the BCH-code C(I) with length 364 | 93−1, defining interval I = {32,33,…,92}, and designed minimum distance d ≥ |I|+1 = 62 [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 = {35,36,…,91}, and designed minimum distance d ≥ |I|+1 = 58 [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(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(9147, 187, F9, 2, 61) (dual of [(187, 2), 227, 62]-NRT-code) | [i] | OOA Folding | |