Information on Result #717856
Linear OA(963, 107, F9, 34) (dual of [107, 44, 35]-code), using construction XX applied to C1 = C([10,40]), C2 = C([7,31]), C3 = C1 + C2 = C([10,31]), and C∩ = C1 ∩ C2 = C([7,40]) based on
- linear OA(946, 80, F9, 31) (dual of [80, 34, 32]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,40}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(941, 80, F9, 25) (dual of [80, 39, 26]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,31}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(952, 80, F9, 34) (dual of [80, 28, 35]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,40}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(935, 80, F9, 22) (dual of [80, 45, 23]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,31}, and designed minimum distance d ≥ |I|+1 = 23 [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, 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
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(963, 53, F9, 2, 34) (dual of [(53, 2), 43, 35]-NRT-code) | [i] | OOA Folding | |