Information on Result #717744
Linear OA(940, 87, F9, 24) (dual of [87, 47, 25]-code), using construction XX applied to C1 = C([78,20]), C2 = C([0,21]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([78,21]) based on
- linear OA(937, 80, F9, 23) (dual of [80, 43, 24]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−2,−1,…,20}, and designed minimum distance d ≥ |I|+1 = 24 [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(939, 80, F9, 24) (dual of [80, 41, 25]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−2,−1,…,21}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(933, 80, F9, 21) (dual of [80, 47, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(91, 5, F9, 1) (dual of [5, 4, 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, 2, F9, 0) (dual of [2, 2, 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.
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 OA(944, 95, F9, 24) (dual of [95, 51, 25]-code) | [i] | Varšamov–Edel Lengthening | |