Information on Result #717826
Linear OA(961, 106, F9, 33) (dual of [106, 45, 34]-code), using construction XX applied to C1 = C([11,40]), C2 = C([8,31]), C3 = C1 + C2 = C([11,31]), and C∩ = C1 ∩ C2 = C([8,40]) based on
- linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,40}, and designed minimum distance d ≥ |I|+1 = 31 [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 = {8,9,…,31}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(950, 80, F9, 33) (dual of [80, 30, 34]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {8,9,…,40}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(934, 80, F9, 21) (dual of [80, 46, 22]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {11,12,…,31}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-code), using
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- extended quadratic residue code Qe(20,9) [i]
- 1 times truncation [i] based on linear OA(910, 20, F9, 9) (dual of [20, 10, 10]-code), using
- linear OA(92, 7, F9, 2) (dual of [7, 5, 3]-code or 7-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
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(961, 53, F9, 2, 33) (dual of [(53, 2), 45, 34]-NRT-code) | [i] | OOA Folding | |