Information on Result #717746
Linear OA(947, 94, F9, 26) (dual of [94, 47, 27]-code), using construction XX applied to C1 = C([76,19]), C2 = C([0,21]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([76,21]) based on
- linear OA(940, 80, F9, 24) (dual of [80, 40, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,19}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(935, 80, F9, 22) (dual of [80, 45, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(943, 80, F9, 26) (dual of [80, 37, 27]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(932, 80, F9, 20) (dual of [80, 48, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(947, 47, F9, 2, 26) (dual of [(47, 2), 47, 27]-NRT-code) | [i] | OOA Folding | |