Information on Result #718120
Linear OA(974, 106, F9, 44) (dual of [106, 32, 45]-code), using construction XX applied to C1 = C([10,50]), C2 = C([7,41]), C3 = C1 + C2 = C([10,41]), and C∩ = C1 ∩ C2 = C([7,50]) based on
- linear OA(957, 80, F9, 41) (dual of [80, 23, 42]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,50}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(954, 80, F9, 35) (dual of [80, 26, 36]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,41}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(963, 80, F9, 44) (dual of [80, 17, 45]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {7,8,…,50}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {10,11,…,41}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(99, 18, F9, 8) (dual of [18, 9, 9]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(99, 19, F9, 8) (dual of [19, 10, 9]-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(974, 53, F9, 2, 44) (dual of [(53, 2), 32, 45]-NRT-code) | [i] | OOA Folding | |